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Kinetic Theory of Gases question bank (Physics)

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Q1.

A cylindrical tube $A B$ of length $l$, closed at both ends contains an ideal gas of 1 mol having molecular weight $M$. The tube is rotated in a horizontal plane with constant angular velocity $\omega$ about an axis perpendicular to $A B$ and passing through the edge at end $A$, as shown in the figure. If $P_{A}$ and $P_{B}$ are the pressures at $A$ and $B$ respectively, then (Consider the temperature is same at all points in the tube)

(A)

$P_{B}=P_{A}$

(B)

$P_{B}=P_{A} \exp \left(M \omega^{2} l^{2} / 3 R T\right)$

(C)

$P_{B}=P_{A} \exp \left(M \omega^{2} l^{2} / R T\right)$

(D)

$P_{B}=P_{A} \exp \left(M \omega^{2} l^{2} / 2 R T\right)$

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Q2.

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of $\frac{C_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}$ for the gas is :

(A)

$\frac{5}{3}$

(B)

$\frac{9}{7}$

(C)

$\frac{3}{2}$

(D)

$\frac{7}{5}$

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