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A cylindrical vehicle containing a gas of mass m and molecular weight M moves along the axis of the cylinder with constant acceleration “a”. The temperature of the gas is maintained constant at T₀ and saturated vapour pressure at this temperature is P₀. Saturated vapour pressure is the pressure at which condensation starts. The cross sectional area of the cylinder is A and volume V. Now, answer the following questions neglecting gravity and assuming the pressure at the front face to be zero & varies linearly from P to Q.
If $a = 5 p_{0} A / m$ the mass of the gas condensed is

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m/2

m/3

4m/5

m/5

answer is C.

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Detailed Solution

$\begin{aligned} p_{0} A = m^{'} a \Rightarrow m^{'} = m / 5 \\ ∴ m - m^{'} = 4 m / 5 \end{aligned}$

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