Consider the two-sided chamber shown, where the right side has a volume of V and the left side has a volume of 2V. The chamber has a seal which separates the right from the left half. The chamber is sealed and an ideal gas is pumped into the right side at a pressure P and temperature T. The seal between the two sides is then opened.
a)If the temperature in the chamber is decreased by a factor of 2 by a refrigeration system while the gas fills the chamber, give an expression for the new pressure P' in terms of the original pressure P.
b)The chamber is then sealed again, trapping 2/3 of the gas molecules in the left side. The temperature of the left side is then doubled by a heater, back to the original temperature T. What is the pressure in the left side of the chamber now, in terms of the original pressure?
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