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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is:
The pressure $P,$ volume $V$ and temperature $T$ of a gas in the jar $A$ and the other gas in the jar $B$ at pressure $2P,$ volume $V/4$ and temperature $2T,$ then the ratio of the number of molecules in the jar $A$ and $B$ will be
A diatomic gas of molecular mass $40 \,g / mol$ is filled in a rigid container at temperature $30^{\circ} C$. It is moving with velocity $200 \,m / s$. If it is suddenly stopped, the rise in the temperature of the gas is .........
The specific heats, $C_P$ and $C_V$ of a gas of diatomic molecules, $A$, are given (in units of $J\, mol^{-1}\, K^{-1}$) by $29$ and $22$, respectively. Another gas of diatomic molecules $B$, has the corresponding values $30$ and $21$. If they are treated as ideal gases, then
$125\, ml$ of gas $A$ at $0.60$ atmosphere and $150\, ml$ of gas $B$ at $0.80$ atmosphere pressure at same temperature is filled in a vessel of $1$ litre volume. What will be the total pressure of mixture at the same temperature ............... $\mathrm{atmosphere}$
$50 \,cal$ of heat is required to raise the temperature of $1$ mole of an ideal gas from $20^{\circ} C$ to $25^{\circ} C$, while the pressure of the gas is kept constant. The amount of heat required to raise the temperature of the same gas through same temperature range at constant volume is ........ $cal$ $(R=2 \,cal / mol -K )$
A partition divides a container having insulated walls into two compartments $I$ and $II$. the same gas fills the two compartments. The ratio of the number of molecules in compartments $I$ and $II$ is