The weight percentage of sodium carbonate in the mixture is = 67.71%
The weight percentage of sodium bicarbonate in the mixture is = 32.57%
What does "molar mass" ?The total mass throughout grams of all the atoms needed to form a molecule per mole is what makes up the molar mass, also known as the molecular weight. Grams per mole is the unit measuring molar mass.
According to the given information:The interaction between sodium carbonate and hydrochloric acid has the following equation:
Na₂CO₃ + HCl --> NaCl + CO₂ + H₂O
The reaction's balanced equation is,
Na₂CO₃ + 2HCl --> 2NaCl + CO₂ + H₂O -------(2).
When sodium hydrogen carbonate as well as hydrochloric acid react, the following equation results.
NaCO₃ + HCl --> NaCl + CO₂ + H₂O ----------------(3)
The Molar mass :
Na₂CO₃ = 106g/mol
NaCO₃ = 84g/mol
NaCl = 58.5g/mol
The mass of the mixture is Na₂CO₃/NaCO₃ = 9.540g
The molar masses of the constituent elements that make up the compounds are added to determine the molar weight of the substances. In both chemical equations (2) and (3), the unitary technique is employed to calculate the mass of the mixture based on the number of moles (3).
The mass of the sodium carbonate and sodium bicarbonate is calculated with the help of the mass of NaCl formed by the mixture of Na₂CO₃/NaCO₃ with HCl.
The mixture has the following percentage of sodium carbonate:
% of Na₂CO₃ = [tex]\frac{x \times 106}{9.540} \times 100\\[/tex]
[tex]=\frac{0.061 \times 106}{9.540} \times 100[/tex]
= (6.46/9.540)*100
= 67.71%
The weight percentage of sodium carbonate in the mixture is = 67.71%
The mixture has the following percentage of NaHCO3:
% of NaHCO₃ = [tex]\frac{y \times 84}{9.540} \times 100[/tex]
= [tex]=\frac{0.037 \times 84}{9.540} \times 100[/tex]
= (3.108/9.540)*100
= 32.57%
The weight percentage of sodium bicarbonate in the mixture is = 32.57%
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I understand that the question you are looking for is:
A mixture of sodium carbonate and sodium hydrogen carbonate is treated with aqueous hydrochloric acid. the unbalanced equations for the resulting's reactions are:
Na2CO3 (s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)
NaHCO3(s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)
You treat 9.540g of Na2CO3/NaHCO3 mixture with an excess of aqueous HCl and isolate 9.355g of NaCl. What is the weight percent of each substance in the mixture?
If the reaction is second order in a and second order in b, what is the rate when the initial concentration of [a] = 3.94 mol/l and that of [b] = 2.21 mol/l?
The rate of reaction is 75.82k mol / l s
We know that,
Rate = k [tex][a]^{x}[/tex][tex][b]^{y}[/tex]
Where,
k = Rate constant
x = Order of reaction of a
y = Order of reaction of b
Given that,
[a] = 3.94 mol / l
[b] = 2.21 mol / l
x = 2
y = 2
Rate = k * [tex]3.94^{2}[/tex] * [tex]2.21^{2}[/tex]
Rate = 75.82k mol / l s
Rate of reaction is the speed at which the reactants are converted to products.
Therefore, the rate of reaction is 75.82k mol / l s
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A fluid has a density of 1040 kg/m^e. if it rises to a height of 1.60 cm in a 1.50 mm diameter capiallry tube, what is the surface tension of the lquid. assume a contact angle of zero.
The calculated surface tension is 9.36 × (10^-2) N/m.
A liquid's density is a gauge of how heavy it is relative to the amount being measured. The liquid that weighs heavier is denser if you weigh two liquids with similar volumes or amounts. A substance that is less dense than water will float if it is gently introduced to the water's surface.
H equals ((2 cos)/ g r)
2γ = h ρ g r 2γ = 1,8 (10^-5) (1040) (10)
γ = 9 (1040) (10^-4)
γ = 9.36 × (10^-2) N/m
Because it enables us to predict which compounds will float and which will sink in a liquid, density is a crucial notion. As long as an object's density is lower than the liquid's density, it will often float.
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A spacecraft is in a 500-km by 900-km leo. how long (in minutes) does it take to coast from perigee to the apogee?
Spacecraft will take around 49 minute and 92 second to coast from perigee to the apogee.
We use Kepler's third law for which the time period is defined as
[tex]T = 2 \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
The Prague's altitude is the shortest distance between the earth's surface and satellite.
The average distance of the perigee and apogee of satellite can be defined as
a = R + [tex]\frac{r_{1} +r_{2} }{2}[/tex]
R is the radius of earth (6374.1km)
r1 is the lower orbit. (500km)
r2 is the higher orbit.(900km)
Using the values in above equation we get:
6374.1+ (500+ 900)/2
a = 7078.1 km
Time taken to fly from perigee to apogee equals to the half of the orbital speed so
t = T/2
[tex]t = \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]
by using the values we get-
= √[(7078.1)³/6.67 ×10⁻¹¹ × 6×10²⁴]
= 295573.94 * 10⁻²
= 2995.73s
t = 49 mint 92 sec
It will take around 49 minute and 92 second to coast from perigee to the apogee.
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If a sprinter reaches his top speed of 10.9 m/s in 2.84 s , what will be his total time?
If a sprinter reaches his top speed of 10.9 m/s in 2.84 s , his total time to cover a distance of 100 m is 10.59 sec
We know that,
a = u / t
s = ut + 1/2 a[tex]t^{2}[/tex]
where,
s = Distance
u = Initial velocity
a = Acceleration
t = Time
Given that,
Top speed = 10.9 m / s
Time taken to reach top speed = 2.84 s
a = 10.9 / 2.84 = 3.83 m / [tex]s^{2}[/tex]
During the time period of 2.84 s, the distance covered is ,
s = ( 0 * 2.84 ) + 1/2 ( 3.83 * [tex]2.84^{2}[/tex] ) = (3.83 * 8.07) / 2
s = 15.44 m
Consider the sprinter maintains a constant acceleration after reaching his top speed.
The distance remaining in 100 m track = 100 - 15.44 = 84.56 m
Time taken to cover 84.56 m at 10.9 m / s with no acceleration is
84.56 = ( 10.9 * t ) + 1 / 2 ( 0 ) ( [tex]t^{2}[/tex] )
t = 7.75 s
Total time taken = 7.75 + 2.84 = 10.59 s
Acceleration is the rate of change of velocity. It is represented as a. Its unit is m / [tex]s^{2}[/tex]
Therefore, if a sprinter reaches his top speed of 10.9 m/s in 2.84 s , his total time to cover a distance of 100 m is 10.59 sec
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Comment on the speed changes as it follows its parabolic arc. do they make sense physically?
(a) Duration of the ball's flight is 2.5S
(b) Angle of its velocity is 16.1
(c) Speed of the ball is 22.53 m/s
(a). To determine the duration of the ball's flight in
We calculate the whole time when the ball touches the ground, thus we enter y=0 and all other specified values in the equation.
[tex]25sin30t-1/210t^{2} = 0[/tex]
[tex]t = 2.5 s[/tex]
(b) After it has been in the air for one-fourth of this period, determine the angle of its velocity with respect to the ground.
t1=1/4 t = 2.5/4 = 0.625 s
[tex]v_{x} = 25\sqrt{3} /2 m/s[/tex]
[tex]v_{y} = 25/2 - 2.5/2 = 12.5/2 m/s[/tex]
∅= 16.1
(c) To determine speed of the ball for time [tex]t_{1} ,t_{2} , t_{3}[/tex]
[tex]v=\sqrt{v} ^{2}{x} + \sqrt{v} ^{2} y_{}[/tex]
vt1 = 22.53 m/s
vt2 = 21.65 m/s
vt3 = 22.53 m/s
What is the speed change on its parabolic arc?The turning point on the corresponding parabolic curve is where the speed is at its lowest in the xx direction. Physically speaking, the shift in speed does make sense. The ball's initial motion against gravity causes its speed to decrease, but after it reaches the turning point, its speed begins to increase as it descends.
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Is it possible to have a function f defined on 2,5 and meets the given conditions? f is continous on (2,5) and he range is a bounded interval
F is continuous on (2,5) and the range is provided as a bounded interval
Although not true for all functions listed [2,5], this is conceivable. For instance, the unbounded range of the function f(x)=x3 is (), which is defined and continuous on the interval [2,5].
How do you tell if a function is ongoing over time?When a function is specified at each point along an interval without any gaps, leaps, or interruptions, the interval is said to be continuous for that function.
We say that a function f(x) is continuous on the interval [a, b] if it meets these requirements from x=a to x=b, for instance.
Is the endpoint of a function continuous?At the right endpoint b, a function is continuous if. The reasons why the endpoints are defined individually.
Because only one way can be used to check for continuity, the endpoints are defined independently. The values will not be in the domain and won’t apply to the function if the limit of an endpoint is checked from a side that is outside the domain.
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Elements that naturally exist as two atoms are called _____.
A) biatomic
B) bimolecular
C) dimolecular
D) diatomic
Answer:
D) diatomic
Explanation:
Diatomic elements form molecules with two atoms together.
Hope It Helps
Sorry If I'm Wrong
When managers establish accurate measuring and monitoring systems to evaluate how well the organization has achieved its goals, they are engaging in the essential task of _______.
Managers do the crucial duty of controlling when they create precise measuring and monitoring methods to assess how well the firm has achieved its goals.
What do you understand by monitoring systems?Software that assists system administrators in monitoring their infrastructure is known as a monitoring system. These tools keep an eye on the hardware, software, and traffic of the system and raise the alarm in the event of errors or disturbances. There are several monitoring systems available, ranging from commercial software to freeware.
The monitoring system broadcasts a signal and logs information about the signal, including whether it was received, how long it took the host to receive it, whether any signal data was lost, and other details.
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If an object is thrown straight upward with an initial speed of 8.0 m/s and takes 3.0 seconds to strike the ground, from what height was the object thrown?
According to the given statement the height of the object thrown is =20.1m
What is the initial speed?Initial condition, or initial speed, refers to an object's speed at the start of a measurement. The average speed is the average of the initial and final speeds, or the ratio of the distance travelled to the time required. The speed difference between the initial and final speeds is the change in speed.
How can one determine initial speed?Start by dividing the acceleration by the time to determine the beginning velocity. Then, divide that number by 2 and write down the quotient you got. Next, divide the distance by the time and write down that quotient as well. To obtain the beginning velocity, finally remove your first quotient from your second quotient.
The right answer is s= 20.1m
s= -8t+0.5gt^2
t=3
s=20.1 m
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A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. how long does it take for the ball to strike the ground?
A ball is thrown vertically downward with an initial speed of 15.8 m/s from a building whose height is 122 m. It takes the ball 3.63 s to strike the ground.
Vertical Motion:Because the object is moving downhill vertically, the motion has a negative acceleration value as well as a negative velocity value.
A quadratic function with concavity downwards can be used to represent both this kind of motion and the motion of the object thrown above.
Answer and justificationh = h0 - v0t - [tex]\frac{gt^2}{2}[/tex]
so putting all the values, we have,
0 = 122 - 15.8t - 4.9 [tex]t^{2}[/tex]
then we know the formula,
t= [tex]\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex] here a=-4.9 b= -15.8 c =122
now putting all the values, we have
t= 3.63 s
So, In 3.63 seconds, the ball lands on the ground.
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When you stand at rest on a pair of bathroom scales, the readings on the scales will always?
Weight is the the gravitational force of the total body mass in the gravitational field. We can feel our weight due to the earth's normal reaction to the weight.
Gravitational force is the kind of attractive force between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Therefore when we stand at rest on a pair of bathroom scales, the readings on the scales will always reads the same as the actual weight of our body.
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A race car is moving at 40.0 m/s around a circular racetrack of radius 265 m. calculate the period of the motion.
The race car that is moving at 40.0 m/s around a circular racetrack of radius 265 m has a period of motion of 41.63 s
To solve this tangential velocity problem the formula and the procedure we will use is:
v = (2 * π * r) / T
Where:
v = tangential velocityπ = mathematical constantr = radiusT = periodInformation about the problem:
v = 40.0 m/sπ = 3.1416r = 265 mT=?Applying the tangential velocity formula and isolating the period, we get:
v = (2 * π * r)/ T
T = (2 * π * r)/ v
T = (2 * 3.1416* 265 m) / 40.0 m/s
T = (1665.04 m) / 40.0 m/s
T = 41.63 s
What is tangential velocity?In physics is the length of arc traveled in each unit of time in uniform circular motion. It is expressed in units of distance per time (m/s), (km/h).
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To find the population after seven days, substitute t = 7 into the equation and simplify. (round your answer to the nearest whole number.) p(7) = 5e7k
The population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].
We have the following function -
p(t) = 5 [tex]$e^{tk} }[/tex]
We have to determine the total population after 7 days.
What is the general meaning of Growth rate?In general, growth rate is the measurement of how fast something increases in size during a particular period.
According to the question, we have -
p(t) = 5 [tex]$e^{tk} }[/tex]
Now -
for t = 7 -
p(7) = 5 [tex]$e^{7k} }[/tex]
where k is growth rate.
Hence, the population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].
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Gold has a density of 0.01932 kg/cm3. what is the mass (in kg) of a 132.5 cm3 sample of gold?
Answer:
ρ = M / V ρ = density
M = ρ * V = 132.5 cm^3 * .01932 kg / cm^3 = 2.561 kg
Note: Water has a density of 1000 kg / m^3 = 1E-3 kg / cm^3
So the equivalent weight of water would be
1.0E-3 kg/cm^3 * 132.5 cm^3 = .132 kg for the water
The specific gravity of the Au is 2.561 / .132 = 19.4 (correct)
In parabolic solar cooker a cooking vessel is not kept at the radius of the curved surface
In parabolic solar cooker, the container of cooking is placed at the focal point of mirror of parabolic shape so that all rays that are falling on solar cooker can converge to one point and produce large amount of heat energy.
A parabolic solar cooker is a cooking device that works on the energy generated from solar panel.
Though solar cookers are slow to cook, they are green sources of energy utilizer as well as renewable source of energy.
Parabolic solar cookers make the use of a reflector which is parabolic in shape to concentrate sunlight into a smaller area in order to generate heat for cooking. They are able to reach high temperatures, which allows them to be used for grilling and frying. These temperatures are significantly higher than what can be reached by a solar box cookers or solar panel cookers .
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An urn contains 6 white and 9 black balls. if 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are white and the last 2 black?
When selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
Given that,
No. of white balls = 6
No. of black balls = 9
Total number of balls = 15
Probability of 1st ball being white = 6/15
Probability of 2st ball being white = 5/14
(Since one white ball is already picked)
Probability of 3rd ball being black = 9/13
(Since two white balls are already picked)
Probability of 4th ball being black = 8/12
(Since two white balls and one black ball is already picked)
The probability that the first 2 selected are white and the last 2 black
= 6/15 * 5/14 * 9/13 * 8/12
= 6/91
Therefore, when selected randomly without replacement the probability that the first 2 selected are white and the last 2 black is 6/91
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Choose the correct wavelength (405 or 500 nm) based on your evaluation of the absorption spectrum just taken. explain the correct choice of wavelength.
The correct answer for the wavelength (405 or 500 nm) based on our evaluation of the absorption spectrum just taken is 405 nm which is Fluorescence .
Fluorescence diagnosis could improve the safety and reliability of stereotactic brain tumor biopsies performed with biopsy needles equipped with integrated fiber optics. Vital tumor tissue can be localized in vivo during the excision procedure using 5-aminolevulinic-acid-induced protoporphyrin IX (PpIX) fluorescence, reducing the number of samples required for a reliable diagnosis. On optical phantoms, the practical suitability of two different PpIX excitation wavelengths (405 nm, 633 nm) was investigated. Violet excitation at 405 nm provides a 50-fold increase in sensitivity for the bulk tumor; ray tracing simulations show that this factor increases up to 100 with decreasing fluorescent volume.
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Please help me in physics! Urgently!!
And now let's deal with physical phenomena. I give you phenomena and
you fill out the table; ice melts, car movement, thunder, lightning, echo,
water heats up, dawn, lead melts, Northern lights, rustling grass.
Thermal
phenomena.
Sound
phenomena.
Mechanical
phenomena.
Light
phenomena.
Answer:
Thermal
Thermalphenomena.
ice meltswater heats uplead meltsSound
Soundphenomena.
thunder echorustling grassMechanical
Mechanicalphenomena.
car movementLight
Lightphenomena.
lightning dawnnorthern lightIf the volume of a gaseous system is increased by a factor of 3 and the temperature is raised by a factor of 6, then the pressure of the system will.
A gaseous system's pressure will rise by a factor of 2 if its volume is increased by a factor of 3 and its temperature is raised by a factor of 6.
What do you mean by pressure?The stress at a location within a confined fluid or the perpendicular force per unit area are the two definitions of pressure used in the physical sciences. A surface will be subject to pressure from a 42-pound box with a bottom area of 84 square inches equivalent to half a pound per square inch of applied force. The weight of the atmosphere pressing down on each square inch of the Earth's surface is known as atmospheric pressure, which is approximately 15 pounds per square inch at sea level. In SI units, pressure is expressed in Pascals.
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Sing kepler's 3rd law, a hypothetical planet is twice as far from the sun as the earth. it should have a period of:_________
If a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.
In the early 17th century, Johannes Kepler observed planetary motions and researched them to give three laws known as Kepler’s Laws.
These laws are:
(1) Law of orbits
(2) Law of Areas
(3) Law of Periods
According to the third law, the square of the time period of revolution of a planet around the sun is proportional to the cube of the distance between the sun and the planet, represented by the following formula
T^2 = r^3
Let T1 be the time period of the revolution of Earth and T2 be the time period of the revolution of the hypothetical planet.
Let r1 be the distance between Earth and the sun and r2 be the distance between the hypothetical planet and the sun.
From the above equation
T1^2 = r1^3
T2^2 = r2^3
Dividing the above equations,
(T1/T2)^2 = (r1/r2)^3
We are given that,
r2 = 2 x r1
And T1 = 365 days
So,
(365/T2)^2 = (r1/2r1)^3
Solving the above equation,
T2 comes out to be 1032 days.
Hence, if a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.
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A barge filled with ore floats in a canal lock. if the ore is tossed overboard, the water level in the lock will?
If the ore is tossed overboard, then the water level in the lock will remain the same.
In the above situation, Archimedes’ Principle is used.
It was given by a Greek Scientist, Archimedes in 246 CE.
According to this principle, the upward buoyant force on a body that is exerted on a body immersed in a liquid is equal to the weight of the liquid displaced by the body.
The formula for Buoyant force is given by the following formula
Force = ρ x g x v
Here ρ = density of the fluid
g = acceleration due to gravity
v = Volume of the fluid
Thus, When the ore is tossed overboard, then it displaces water equal to its weight, so the water level remains the same.
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The velocity of a ball is 1 m/s at a given instant of time. is it possible for the acceleration of the ball to be -1 at this instant
Yes, The velocity of a ball is 1 m/s at a given instant of time. it is possible for the acceleration of the ball to be -1 at this instant.
Why can the acceleration be in negative?If it is made sure that the other values are plugged in correctly, a positive velocity is capable of making a negative acceleration.
Does negative acceleration indicate a speed reduction?A moving item always experiences positive acceleration. An object that is slowing down always experiences negative acceleration. However it does not mean that negative acceleration always mean reduction in speed.
Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system. Negative acceleration might or might not be deceleration, and vice versa for negative acceleration.
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how does nuclear reaction occur in the sun
Explanation:
In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion.
It takes four hydrogen atoms to fuse into helium atom. During the process some of the mass is converted into energy.
A nuclear reaction combining nuclei of lighter atoms together to form heavier nuclei resulting in the release of tremendous amount of energy is called a nuclear fusion reaction.
Nuclear fusion reaction takes place in the sun.
Answer:
In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion. It takes four hydrogen atoms to fuse into each helium atom. During the process some of the mass is converted into energy.
A constant current of 3.2maflows through anelement. what is the charge that has passed through the elementin thefirst millisecond?
The charge that has passed through the element the first millisecond is 2.3nc.
What is millisecond?Millisecond is a period estimation unit with the image of MS, which is equivalent to a one thousandth of a second. It can likewise be characterized as the span of photograph electric lamp, or as the hour of a cycle for 1kHz recurrence. This unit is at times utilized while estimating extent or making truly exact physical and logical computations. Millisecond is clearly utilized rigorously for logical purposes since estimating this unit of time is very troublesome. This web-based milliseconds to microseconds converter can be exceptionally helpful for understudies, analysts, science fans and the people who are needing making time changes.
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Why would you have to know how to convert measurements when looking at a technical drawing?
1.) When examining technical drawings, conversion of dimensions is crucial knowledge to have. A person with measurement skills may use an object's shape to determine its sides, angles, area, and volume. If he is aware of these factors, he will be able to modify a sketch or design if the need arises.
If someone knows how to convert a measurement to a system that the other person is familiar with, they can do so when working with someone who is unfamiliar with the measuring system.
2.) Units have a crucial role. No meaning is given to numbers without units in scientific computations. For instance, if someone asks a shopkeeper for three rice, the shopkeeper may not grasp what he means, but if he is told that the customer wants three kilograms of rice, the shopkeeper will. Because the value of anything in one system of units may differ from that of the other, you need also be familiar with unit conversion into other systems (Metric, SI). Understanding units in this way can help with numerous issues.
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences. Therefore, measurement is the process of determining the size or smallness of a physical quantity in relation to a primary reference quantity of a similar kind. The act or system of measuring is referred to as measurement. It can be viewed as a procedure for utilizing numbers to define physical objects. In this post, you can read more about measurement units and conversion.
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Neutron stars and black holes are formed by:_____.
a. the star formation process.
b. mass transfer in binary star systems.
c. novae.
d. type i supernovae.
e. type ii supernovae.
The correct option is type ii supernovae.
Neutron stars and black holes are formed by type II supernovae.
What is type II supernovae?A large star's quick collapse and ferocious explosion produce a Type II supernova. To experience this kind of explosion, a star's mass must be at least 8 times that of the Sun, but no more than 40 to 50 times. The presence of hydrogen in the spectra of type II supernovae sets them apart from other types of supernovae. They are typically found in galaxies' spiral arms and H II regions, but not in elliptical galaxies, which are typically made up of older, low-mass stars and have less of the young, extremely massive stars required to produce supernovae.Learn more about the Type I and II supernova with the help of the given link:
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A labrador retriever runs 50.0 meters in 7.20 seconds to retrieve a bird. the dog then runs half way back in 3.85 seconds. determine the average speed of the dog and the average velocity of the dog
The average speed of the dog is 6.8 m/s while the average velocity is 6.8 m/s halfway to the starting point.
Speed and velocityThe speed of a moving object is the ratio of the distance covered by the object and the time taken to cover the distance. The average speed is the ratio of the total distance traveled and the total time taken.
Velocity, on the other hand, refers to the speed in a particular direction. In other words, velocity is a vector quantity while speed is a scalar quantity.
In this case:
Total distance covered = 50 + 25
= 75 meters
Total time taken = 7.2 + 3.85
= 11.05 seconds
Average speed = 75/11.05
= 6.8 m/s
Average velocity = 6.8 m/s halfway
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Find the x-component of this
vector:
Answer:
4.978 m
Explanation:
[tex]\mathsf v_x[/tex] , the x-component of a vector is given by [tex]\boldsymbol v\cos\theta[/tex] where [tex]\theta[/tex] is the angle formed by the vector with the x-axis. The sign of the x-component depends on which quadrant the vector is
Here [tex]\theta = 77.1[/tex]°
[tex]\cost\theta = \cos(77.1) = 0.22325[/tex]
The vector has magnitude of 22.3 m
So the x-component = 22.3 x 0.22325 = 4.978 m
A copper wire has a diameter of 2.097 mm. what magnitude current flows when the drift velocity is 1.54 mm/s? take the density of copper to be 8.92 103 kg/m3.
By using drift velocity of the electron, the current flow is 7.20 ampere.
We need to know about drift velocity of electrons to solve this problem. The drift velocity can be determined as
v = I / (n . A . q)
where v is drift velocity, I is current, n is atom number density, A is surface area and q is the charge.
From the question above, we know that
d = 2.097 mm
r = (0.002097 / 2) m
v = 1.54 mm/s = 0.00154 m/s
ρ = 8.92 x 10³ kg/m³
q = e = 1.6 x 10¯¹⁹C
Find the atom density
n = Na x ρ / Mr
where Na is Avogadro's number (6.022 x 10²³), Mr is the atomic weight of copper (63.5 g/mol = 0.635 kg/mol).
n = 6.022 x 10²³ x 8.92 x 10³ / 0.635
n = 8.46 x 10²⁷ /m³
Find the current flows
v = I / (n . A . q)
0.00154 = I / (8.46 x 10²⁷ . πr² . 1.6 x 10¯¹⁹)
0.00154 = I / (8.46 x 10²⁷ . π(0.002097 / 2)² . 1.6 x 10¯¹⁹)
I = 7.20 ampere
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If an electron is detached from an atom, the atom is converted to a positive ion called a(n):________
If an electron is detached from an atom, the atom is converted to a positive ion called a(n): Cation
Cations are positively charged ions formed when neutral atoms lose electrons. Chemical elements that are cations include:
Alkali metals that lose an electron and form a cation with 1+ charge.The alkali metals of the earth, which lose 2 electrons and form 2+ cation.Aluminum, which loses 3 electrons to form 3+ cation.What is an atom?The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.
Learn more about the atom at: brainly.com/question/17545314
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