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The number of air molecules per $\mathrm{cm}^3$ increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. The ratio of collision frequency of air molecules before and after the increase in number respectively is $.........$
Molar specific heat of oxygen at constant pressure ${C_p} = 7.2\,cal/mol^\circ C$ and $R = 8.3 joule/mol/K$. At constant volume, $5\, mol$ of oxygen is heated from $10°C$ to $20°C$, the quantity of heat required is approximately ........ $cal$
One kg of a diatomic gas is at a pressure of $8 × 10^4\ N/m^2$. The density of the gas is $4\ kg/m^3$. What is the energy of the gas due to its thermal motion ?
Two closed containers of equal volume filled with air at pressure $P_0$ and temperature $T_0$. Both are connected by a narrow tube. If one of the container is maintained at temperature $T_0$ and other at temperature $T$, then new pressure in the containers will be
A spherical bubble inside water has radius $R$. Take the pressure inside the bubble and the water pressure to be $p_0$. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes $(R-a)$. For $a \ll R$ the magnitude of the work done in the process is given by $\left(4 \pi p_0 R a^2\right) X$, where $X$ is a constant and $\gamma=C_p / C_V=41 / 30$. The value of $X$ is. . . . . .
A gas mixture consists of $3$ moles of oxygen and $5$ moles of argon at temperature $T$. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of $RT$ ) of the mixture is
When the pressure on $1200\, ml$ of a gas in increased from $70\, cm $ to $120\, cm$ of mercury at constant temperature, the new volume of the gas will be ........ $ml$