Kinetic Theory

Universal gas constant is :

• $\frac{{\mathrm{C}}_{\mathrm{p}}}{{\mathrm{C}}_{\mathrm{v}}}$

• C_p - C_v

• C_P + C_V

• $\frac{{\mathrm{C}}_{\mathrm{V}}}{{\mathrm{C}}_{\mathrm{P}}}$

A mixture of oxygen and hydrogen are filled in a vessel at a fixed temperature. The ratio of average kinetic energies of atoms of H₂ and O₂ is

• 1 : 16

• 1 : 8

• 1 : 12

• 1 : 1

The speed of sound in a gas ($\mathrm{\gamma }$=1.5) at 300 K is 340 m/s. The rms velocity of gas molecules will be

• 340  m/s

• $\frac{340}{\sqrt{2}}$ m/s

• 340$\sqrt{2}$ m/s

• 340$\sqrt{15}$ m/s

If 2 g mole of diatomic gas and 1 g mole of monoatomic gas are mixed together, then the ratio of specific heats of mixture is

• 1 : 24

• 1 : 58

• 1 : 46

• 1 : 60

The temperature at which the mean KE of the molecules of gas is one-third of the mean KE of its molecules at 180$°$C is

• -122$°$C

• -90$°$C 

• 60$°$C

• 151°C

The gas in a vessel is subjected to a pressure of 20 atm at a temperature 27$°$C. The  pressure of the gas in a vessel after one-half of the gas is released from the vessel and the temperature of the remainder is raised by 50$°$C is

• 8.5 atm

• 10.8 atm

• 11.7 atm

• 17 atm

The temperature at which root mean square velocity of molecules of helium is equal to root mean square velocity of hydrogen at NTP is

• 273°C

• 273 K

• 546°C

• 844 K

Relation between specific heats of an ideal gas

• C_p + C_V = R

• C_p − C_V = R

• $\frac{{\mathrm{C}}_{\mathrm{p}}}{{\mathrm{C}}_{\mathrm{V}}} = \mathrm{R}$

• $\frac{{\mathrm{C}}_{\mathrm{V}}}{{\mathrm{C}}_{\mathrm{p}}} = \mathrm{R}$

Who gave the kinetic molecular theory of gas?

• Device

• Einstein

• Newton

• Bernoulli

A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be

• $\frac{2}{3} \mathrm{Q}$

• $\frac{3}{5}\mathrm{Q}$

• $\frac{2}{5}\mathrm{Q}$

• $\frac{1}{5}\mathrm{Q}$