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…

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

MARKS Content Team · Accepted Answer

Correct answer: (C) 1/2 (p_1T_2+p_2T_1)/T_1T_2. For a closed system, the total number of moles remains constant. So p_1V=n_1RT_1 and p_2V=n_2RT_2 ∴ p2V=n_1+n_2RT ∴ p/T = (n_1+n_2)/2R=1/2P_1/T_1+P_2/T_2 = 1/2(p_1T_2+p_2T_1)/T_1T_2

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

Solution

More Thermodynamics Questions

Two containers of equal volume contain the same gas at the pressure p1 and p2 and absolute temperatures T1 and T2 respectively. On joining the vessels, the gas reaches a common pressure p and a common temperature T. The ratio is equal to

Solution

More Thermodynamics Questions

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