The root mean square speed of molecules of nitrogen gas at $27^{\circ} C$ is approximately$.......m/s$(Given mass of a nitrogen molecule $=4.6 \times 10^{-26}\,kg$ and take Boltzmann constant $k _{ B }=1.4 \times 10^{-23}\,JK ^{-1}$ )
JEE MAIN 2023, Easy
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Statement$-1 :$ Internal energy of gas $U = nC_VT$ is due to random motion of gas molecules.View Solution
Statement$-2 :$ A container is moving with speed $v$. It is suddenly stopped by a force, temperature of gas increases. - 2Consider a $1\, c.c.$ sample of air at absolute temperature ${T_0}$ at sea level and another $1 cc$ sample of air at a height where the pressure is one-third atmosphere. The absolute temperature $T$ of the sample at that height isView Solution
- 3The average kinetic energy of a gas molecule at $27^oC$ is $6.21 \times {10^{ - 21}}\,J$. Its average kinetic energy at $227°C$ will beView Solution
- 4The pressure and temperature of two different gases is $P$ and $T$ having the volume $V$ for each. They are mixed keeping the same volume and temperature, the pressure of the mixture will beView Solution
- 5The mean free path of molecules ofa gas, (radius $r$) is inversely proportional toView Solution
- 6$2\, moles$ of helium gas is mixed with $3\, moles$ of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ....... $J/mol\, K$ ? $(R = 8.3\, J/mol\, K)$View Solution
- 7For a gas, the difference between the two specific heats is $4150\, J\, kg^{-1}\, K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J\, kg^{-1}\, K^{-1}$ ?View Solution
- 8$310\,J$ of heat is required to raise the temperature of $2\,moles$ of an ideal gas at constant pressure from $25\,^oC$ to $35\,^oC$ . The amount of heat required to raise the temperature of the gas through the same range at constant volume is .... $J$View Solution
- 9The translational degrees of freedom $(f)$ and rotational degrees of freedom $(f)$ of $\mathrm{CH}_4$ molecule are:View Solution
- 10Nitrogen gas $N _2$ of mass $28 \,g$ is kept in a vessel at pressure of $10 \,atm$ and temperature $57^{\circ} C$. Due to leakage of $N _2$ gas its pressure falls to $5 \,atm$ and temperature to $27^{\circ} C$. The amount of $N _2$ gas leaked out is .......... $g$View Solution