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Q.

Two containers of equal volume contain the same gas at the pressure P 1  and P 2  and absolute temperature T 1  and T 2  respectively. On joining the vessels, the gas reaches a common pressure P  and a common temperature T . The ratio PT  is equal to

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a

P 1T 2+P 2T 1T 1T 2

b

P 1T 2+P 2T 1T 1+T 2

c

12[P 1T 2+P 2T 1T 1T 2]

d

[P 1T 2−P 2T 1T 1T 2]

answer is C.

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Detailed Solution

For a closed system, the total number of moles remains constant. So P 1V=n 1RT 1  and P 2V=n 2RT 2 ∴    P(2V)=(n 1+n 2)RT ∴    PT=(n 1+n 2)2VR=12[P 1T 1+P 2T 2] =12[P 1T 2+P 2T 1T 1T 2]
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