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The capacity of a vessel is $3$ litres. It contains $6 \,gm$ oxygen, $8\, gm$ nitrogen and $5\, gm$ $C{O_2}$ mixture at $27°C.$ If $R = 8.31\, J/mole$ $ \times $ $kelvin,$ then the pressure in the vessel in $N/{m^2}$ will be (approx.)
At a given temperature if ${V_{rms}}$ is the root mean square velocity of the molecules of a gas and ${V_s}$ the velocity of sound in it, then these are related as $\left( {\gamma = \frac{{{C_P}}}{{{C_v}}}} \right)$
The molecules of a given mass of a gas have a $r.m.s.$ velocity of $200\, m/sec$ at $27°C$ and $1.0 \times {10^5}\,N/{m^2}$ pressure. When the temperature is $127°C$ and pressure is $0.5 \times {10^5}\,N/{m^2}$, the $r.m.s.$ velocity in $m/sec$ will be
The molar heat capacities of a mixture of two gases at constant volume is $13 R / 6$. The ratio of number of moles of the first gas to the second is $1: 2$. The respective gases may be
For an ideal gas the instantaneous change in pressure $'{p} '$ with volume $'v'$ is given by the equation $\frac{{dp}}{{dv}}=-{ap} .$ If ${p}={p}_{0}$ at ${v}=0$ is the given boundary condition, then the maximum temperature one mole of gas can attain is :
At a certain temperature, the $r.m.s.$ velocity for ${O_2}$ is $400\, m/sec.$ At the same temperature, the $r.m.s.$ velocity for ${H_2}$ molecules will be ....... $m/sec$
A diatomic gas of molecules weight $30\,\, gm/mole$ is filled in a container at $27\,^oC$. It is moving at a velocity $100\,\, m/s$. If it is suddenly stopped, the rise in temperature of gas is :