For a physics class. A box of gas contains a mixture of two different gases, sho
ID: 1792420 • Letter: F
Question
For a physics class.
A box of gas contains a mixture of two different gases, shown in the figure as blue molecules and red molecules. The temperature and pressure in the box are measured at STP (T = 300 K and p = 1 atmosphere). The blue molecules have 4 times the mass of the red molecules, but there are equal numbers of each kind in the box. The simulation has been running long enough at this time so that the all the measurements have stabilized. (Gravity is turned off in the simulation.)
1. Which molecules contribute more to the pressure measured by a meter in the wall of the box?
The blue molecules
The red molecules
They contribute equally
You cannot tell from the information given
2. Which molecules are moving faster?
On average, the blue molecules are moving twice as fast as the red
On average, the red molecules are moving twice as fast as the blue
On average, the blue molecules are moving faster than the red but not twice as fast
On average, the red molecules are moving faster than the blue but not twice as fast
You can’t tell from the information given.
An additional amount of red molecules are introduced until the box contains 4 times as many of the red molecules as there are of the blue as shown in the figure at the right.
3. Now how do the average speeds of the molecules compare?
The red and blue average speeds are the same.
The average speed of the red molecules is twice as big as that of the blue.
The average speed of the red molecules is four times as big as that of the blue.
The average speed of the red molecules is half as big as that of the blue.
The average speed of the red molecules is one quarter as big as that of the blue.
You can’t tell from the information given.
4. How do the temperatures of the molecules compare?
The red and blue temperatures are the same.
The temperature of the red molecules is twice as high as that of the blue.
The temperature of the red molecules is four times as high as that of the blue.
The temperature of the red molecules is half as high as that of the blue.
The temperature of the red molecules is one quarter as high as that of the blue.
You can’t tell from the information given.
5. On the average, how do the contributions of the molecules to the force felt on the left wall compare?
The red and blue exert the same forces.
The force exerted by the red molecules is twice that of the blue.
The force exerted by the red molecules is four times that of the blue.
The force exerted by the red molecules is half that of the blue.
The force exerted by the red molecules is one quarter that of the blue.
You can’t tell from the information given.
A box of gas contains a mixture of two different gases, shown in the figure as blue molecules and red molecules. The temperature and pressure in the box are measured at STP (T = 300 K and p = 1 atmosphere). The blue molecules have 4 times the mass of the red molecules, but there are equal numbers of each kind in the box. The simulation has been running long enough at this time so that the all the measurements have stabilized. (Gravity is turned off in the simulation.)
Explanation / Answer
(1) According to Daltons law, partial pressure of gas depends on the mole fraction. Since both gas has same number of molecule hence their mole fraction will also be same and so the pressure i.e.
Option : They contribute equally
(2) All the velocity, i.e. average, most probable and rms are inversally propotional to the squar root of mass hence greater mass has low speed and vice versa
On average, the red molecules are moving twice as fast as the blue
(3) Due to the same reason as mentioned above
The average speed of the red molecules is twice as big as that of the blue.
(4) As the mixture is maintained at same and constant temo hence
The red and blue temperatures are the same.
(5) Since pressure exerted by both the paricle is same (Daltons law) hence force will also be same.
The red and blue exert the same forces.
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