A small sphere of initial volume V is filled with n moles of helium at initial pressure and temperature P and T. Which of the following statements is true?


n/2 moles of gas are removed, the volume is decreased to V/2, and the pressure decreases to P/4 with a drop in temperature of T/2

The volume decreases to V/2, and the pressure increases to 4P when the temperature is T/2
n moles of gas are added, the total sample is heated to 2T, and the pressure drops to P/2 when the volume increases to 8V
The amount of gas is doubled to 2n, the pressure is doubled to 2P, and the volume is doubled to 2V, with a corresponding temperature drop to T/2


Using the ideal gas law PV = nRT, you can expect a pressure drop to P/2.

Physics & Space Science

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