Test Academy | Two containers of equal volume contain the same gas at pressures P₁ and P₂ and absolute temperatures T₁ and T₂ respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T. The ratio P/T is equal to P₁/T₁ + P₂/T₂, (P₁T₁ + P₂T₂)/(T₁ + T₂)², (P₁T₂ + P₂T₁)/(T₁ + T₂)², P₁/2T₁ + P₂/2T₂

Question

Two containers of equal volume contain the same gas at pressures P₁ and P₂ and absolute temperatures T₁ and T₂ respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T. The ratio P/T is equal to

Options :

P₁/T₁ + P₂/T₂
(P₁T₁ + P₂T₂)/(T₁ + T₂)²
(P₁T₂ + P₂T₁)/(T₁ + T₂)²
P₁/2T₁ + P₂/2T₂

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