First slide
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Question

Two identical containers each of volume V0 are joined by a small pipe. The containers contain identical gases at temperature T0 and pressure P0. One container is heated to temperature 2T0 while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T0.

Moderate
Solution

n1+n2=n11+n21

P0V0RT0+P0V0RT0=PV0RT0+PV0R2T02P0V0RT0=PV0RT032P=4P03

from ideal gas equation PV = nRT
4P03V0=n21R2T0

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