Write the difference between ideal gas and real gas.

3

(a)

If one mole of a monoatomic gas is mixed with three moles of a diatomic gas.What is the molar specific heat of mixture at constant value?[Take, R = 8.31 J mol^-1K^-1]

3

(a)

A gaseous mixture contain 16 g of helium and 16g of oxygen, then calculate the ratio of C_p/C_V of the mixture.

3

(a)

What will be the mean free path of nitrogen gas at STP of given diameter of nitrogen molecule = 2\(\overset { 0 }{ A } \) ?

3

(a)

Explain,
(i) why there is no atmosphere on moon.
(ii) there is fall in temperature with altitude

3

(a)

Calculate
(i) r.m.s. velocity 
(ii) mean kinetic energy of one gram molecule of hydrogen at S.T.P. Given density of hydrogen at S. T.P. is 0.09 kg m^-3.

3

(a)

A vessel A contains hydrogen and another vessel B whose volume is twice of A contains same mass of oxygen at the same temperature. Compare
(i) pressure of gases in A and B. Molecular weights of hydrogen and oxygen are 2 and 32 respectively.

3

(a)

On what parameters does the \(\lambda \) (mean free path) depends?

3

(a)

A vessel contains two nonreactive gases : neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is 3:2. Estimate the ratio of (i) number of molecules and (ii) mass density of neon and oxygen in the vessel. Atomic mass of Ne = 20.2 u, molecular mass of O₂ = 32.0 u.

3

(a)

Three moles of an ideal diatomic gas is taken at a temperature of 300 K. Its volume is doubled keeping its pressure constant. Find the change in internal energy of gas

3

(a)

The velocities of ten particles in ms^-1 are 0, 2, 3, 4, 4, 4, 5, 5, 6, 9. Calculate (i) Average speed and (ii) r.m.s. speed.

3

(a)

Explain, why it is not possible to increase the temperature of a gas while keeping its volume and pressure constant?

3

(a)

State the assumptions of the kinetic theory of gases. The density of carbon dioxide gas at 0 °C and at a pressure of 1.0 x 10⁵ newton/metre²: is 1.98 kg/m³. Find the root mean square velocity of its molecules at 0 °C and 30°C. Pressure is constant.

3

(a)

What is kinetic interpretation of temperature? Two perfect gases at absolute temperatures T₁ and T₂ are mixed. There is no loss of energy. Find the temperature of the mixture if masses of molecules are m₁ and m₂ and the number of molecules in the gases are\(\mu _{ 1 }\)  and \(\mu _{ 2 }\) respectively.

3

(a)