Two containers of equal volume contain the same gas at the 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 a common temperature T . The ratio is equal to

Question

Two containers of equal volume contain the same gas at the 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 a common temperature T . The ratio is equal to, p 1 T 2 + p 2 T 1 T 1 × T 2, p 1 T 2 + p 2 T 1 T 1 + T 2, 1 2 p 1 T 2 + p 2 T 1 T 1 T 2, p 1 T 2 - p 2 T 1 T 1 × T 2

MARKS App · Accepted Answer

For a closed system, the total number of moles remains constant. So p 1 V = n 1 R T 1 a n d p 2 V = n 2 R T 2 ∴ p 2 V = n 1 + n 2 R T ∴ p T = n 1 + n 2 2 R = 1 2 P 1 T 1 + P 2 T 2 = 1 2 p 1 T 2 + p 2 T 1 T 1 T 2

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