First slide

Thermodynamic processes

Question

Two different gases are enclosed in two different identical chambers maintained at common temperature. Their pressures are P₁ and P₂ respectively. The two chambers are connected by a thin pipe keeping the temperature same. Then final pressure is (assuming adiabatic walls)

Moderate

A

$P_{1} + P_{2}$
B

$(\frac{P_{1} + P_{2}}{2})$
C

Between $(\frac{P_{1} + P_{2}}{2})$ and $P_{1} + P_{2}$
D

None of these

Solution

Process is isothermal for each gas. Each gas occupies twice the volume it occupied originally. Hence, pressure of each gas halves. New pressures are $\frac{P_{1}}{2}$ and $\frac{P_{2}}{2}$ respectively. Hence, total pressure, by Dalton’s law, = $(\frac{P_{1} + P_{2}}{2})$ .

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