A cylindrical container of volume $4.0 \times 10^{-3} \,{m}^{3}$ contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is $400 \,{K}$ The pressure of the mixture of gases is:
[Take gas constant as $8.3\, {J} {mol}^{-1} {K}^{-1}$]
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When the temperature of a gas is raised from $27^o C$ to $90^o C$, the percentage increase in the $r.m.s.$ velocity of the molecules will be ..... $\%$
$12\,\,gms$ of gas occupy a volume of $4\times 10^{-3}\,\, m^3$ ata temperature of $7\,^oC$. After the gas is heated at constant pressure its density becomes $6\times 10^{-4}\,\,gm/cc$. ...... $K$ temperature to which the gas was heated.
At constant pressure, the ratio of increase in volume of an ideal gas per degree raise in kelvin temperature to it's original volume is $(T =$ absolute temperature of the gas$)$
If the collision frequency of hydrogen molecules in a closed chamber at $27^{\circ} \mathrm{C}$ is $\mathrm{Z}$, then the collision frequency of the same system at $127^{\circ} \mathrm{C}$ is :
An ideal gas of Molar mass $M$ is contained in a vertical tube of height $H$, closed at both ends. The tube is accelerating vertically upwards with acceleration $g$ Then, the ratio of pressure at the bottom and the mid point of the tube will be
A gas obeying the equation of state $p V=R T$ undergoes a hypothetical reversible process described by the equation, $p V^{5 / 3} \exp \left(-\frac{p V}{E_{0}}\right)=C_{1}$, where $C_{1}$ and $E_{0}$ are dimensioned constants. Then, for this process, the thermal compressibility at high temperature
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
A flask contains Hydrogen and Argon in the ratio $2: 1$ by mass. The temperature of the mixture is $30^{\circ} C$. The ratio of average kinetic energy per molecule of the two gases ( $K$ argon/ $K$ hydrogen) is: (Given: Atomic Weight of $Ar = 39.9$)