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

Question

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

MARKS App · Accepted Answer

Number of moles in the first vessel μ 1 = P 1 V RT 1 Number of moles in the second vessel μ 2 = P 2 V RT 2 If both vessels are joined together, then the quantity of gas remains the same, i.e., μ = μ 1 + μ 2 P 2 V RT = P 1 V RT 1 + P 2 V RT 2 P T = P 1 2 T 1 + P 2 2 T 2

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