Additional gas is pumped inside a rigid container that stores compress...
The molar concentration of gas is increasing as more moles of gas is added into the rigid container.
A rigid container does not change in volume, it is an isochoric system.
Pressure change is unknown in this system. Using PV = nRTP, for ideal gases, we expect n, moles of gas to increase and V, volume to stay constant. However, we do not know how pressure and temperature are being affected in this system.
W = PΔV
No work is done on or by the container since the container is isochoric.
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Additional gas is pumped inside a rigid container that stores compress...
The molar concentration of gas is increasing as more moles of gas is added into the rigid container.
A rigid container does not change in volume, it is an isochoric system.
Pressure change is unknown in this system. Using PV = nRTP, for ideal gases, we expect n, moles of gas to increase and V, volume to stay constant. However, we do not know how pressure and temperature are being affected in this system.
W = PΔV
No work is done on or by the container since the container is isochoric.
Additional gas is pumped inside a rigid container that stores compress...
Explanation:
When additional gas is pumped inside a rigid container that stores compressed gas, several changes occur in the system. Let's analyze each statement to determine which one is true.
a) Pressure is constant throughout the compression:
This statement is not true. When additional gas is pumped into the container, the volume of the container remains constant while the number of gas molecules increases. According to the ideal gas law (PV = nRT), if the volume (V) is constant and the number of moles (n) increases, then the pressure (P) must also increase. Therefore, the pressure is not constant throughout the compression.
b) There is no work done on the container:
This statement is true. Since the container is rigid, there is no change in volume, and work is defined as the product of force and displacement. Without a change in volume, there is no displacement, and therefore no work is done on the container.
c) The molar concentration of gas is decreasing:
This statement is not true. When additional gas is pumped into the container, the number of gas molecules increases, while the volume remains constant. As a result, the molar concentration of the gas, which is defined as the number of moles of gas divided by the volume, will increase rather than decrease.
d) The volume of the container is decreasing:
This statement is not true. The problem states that additional gas is pumped into the container, which implies that the volume of the container is not decreasing. In a rigid container, the volume remains constant regardless of the changes in the amount of gas inside.
Therefore, the correct statement is option 'B' - There is no work done on the container.