Graph between volume and temperature for a gas is shown in figure. If $\alpha$ = Volume coefficient of gas = $\frac{1}{273}$ per $^o C$,then what is the volume of gas at a temperature of $819 ^o C$
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If $\alpha$ moles of a monoatomic gas are mixed with $\beta$ moles of a polyatomic gas and mixture behaves like diatomic gas, then [neglect the vibrational mode of freedom]
A mixture of hydrogen and oxygen has volume $2000 \; cm ^{3}$, temperature $300 \; K$, pressure $100 \; kPa$ and mass $0.76 \; g$ The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be
A vessel of volume $0.02 \,\,m^3$ contains a mixture of hydrogen and helium at $20\,^oC$ and $2$ atmospheric pressure. The mass of mixture is $5\,\, gms$. Find the ratio of mass of hydrogen to that of helium in the mixture.
Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of $T$. The total internal energy, $U$ of a mole of this gas, and the value of $\gamma\left(=\frac{ C _{ P }}{ C _{ v }}\right)$ given, respectively, by