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

83.

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

• $\frac{2}{3} \mathrm{Q}$

• $\frac{3}{5}\mathrm{Q}$

• $\frac{2}{5}\mathrm{Q}$

• $\frac{1}{5}\mathrm{Q}$

For molecules of a gas have speeds 1, 2, 3 and 4 km/s. The value of the root mean square speed of the gas molecules is

• $\frac{1}{2}\sqrt{15} \mathrm{km}/\mathrm{s}$

• $\frac{1}{2}\sqrt{10} \mathrm{km}/\mathrm{s}$

• 2.5 km/s

• $\frac{\sqrt{15}}{2} \mathrm{km}/\mathrm{s}$

Volume versus temperature graphs for a given mass of an ideal gas are shown in figure. At two different values of constant pressure, what can be inferred about relation between p₁ and p₂ ?

• p₁ > p₂

• p₁ = p₂

• p₁ < p₂

• data is insufficient

Determine the mean free path of argon molecules under normal condition knowing that the molecule diameter is 0.4 nm.

• 48 nm

• 60 nm

• 52 nm

• 71 nm

Six molecules speeds 2 unit, 5 unit, 3 unit, 6 units, 3 unit and 5 unit respectively. The rms speed is

• 4 unit

• 1.7 unit

• 4.2 unit

• 5 unit