# Pressure of Ideal gas

The above left is a cylinder containing a given mass of ideal gas placed on a thermal reservoir with a constant temperature. The cylinder is separated by a divider into A and B of the same volume. Hence, the volumes of the ideal gases are the same as $$V.$$ The masses of the ideal gases in A and B are the same, and the pressures in A and B are also the same, which is $$P$$. Now, as in the above right, we move the divider to the right until the volume of B is reduced by half. What is the resulting difference in pressure $$P_B-P_A?$$

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