If a gas is heated, its temperature increases. On the basis of kinetic theory of gases, explain.

How degree of freedom of a gas molecule is related with the temperature?

Is molar specific heat of a solid, a constant quantity?

If a molecule having N atoms has k number of constraints, how many degree of freedom does the gas possess?

If there are f degrees of freedom with n moles of a gas, then find the internal energy possessed at a temperature T.

What is the rms speed of hydrogen gas molecules at STP.  Given,  density is  0.09 kg m^-3.

If value of most probable speed for an ideal gas is 500 m/s. Find the value of root mean square speed for this gas.

Find the temperature at which rms speed of a gas is half of its value of 0⁰C, pressure remaining constant.

A gas mixture consists of molecule of types A, B and C with masses, m_A>m_B>m_C. Rank the three types of molecules in decreasing order of
(i) average KE
(ii)  rms speed

A gas is contained in a closed vessel. How pressure due to the gas will be affected if force of attraction between the molecules disseppear sudenly?

Calculate  the temperature at which  the rms speed of CO₂ gas molecule will be 1 kms^-1. Given that molecular mass of CO₄ = 44 u

What is the kinetic energy of translation of one molecule of a gas at 300 K ? Gas is having three degree of freedom. k_B = 1.38 x 10^-23 JK^-1.

Three moles of a diamotic gas is mixed with two moles of monoatomic gas.What will be the molecular specific heat of the mixture at constant volume? [given,R = 8.31 J mol^-1K^-1 ]

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

Calculate the temperature atoms at which rms speed of Argon gas is equal to the rms speed of Helium gas atoms at -10⁰C?(Atomic mass of Ar = 39.9u, that of He = 4u)

Estimate the volume of a water molecule using the data in Example : The density of water is 1000 kgm^-3. The density of water vapour at 100⁰C and 1 atm pressure is 0.6 kgm ^-3 .The volume of a molecule multiplied by the total number gives ,what is called, molecular volume. Estimate the ratio (or fraction) of the molecular volume to the total volume occupied by the water vapour under the above conditions of temperature and pressure.

What is the average distance between atoms (interatomic distance) in water? Use the data given in Examples : (i) The density of water is 1000 kgm^-3. The density of water vapour at 100⁰C and 1 atm pressure is 0.6 kgm ^-3 .The volume of a molecule multiplied by the total number gives ,what is called, molecular volume. Estimate the ratio (or fraction) of the molecular volume to the total volume occupied by the water vapour under the above conditions of temperature and pressure.
(ii) Estimate the volume of a water molecule using the data in Example : The density of water is 1000 kgm^-3. The density of water vapour at 100⁰C and 1 atm pressure is 0.6 kgm ^-3 .The volume of a molecule multiplied by the total number gives ,what is called, molecular volume. Estimate the ratio (or fraction) of the molecular volume to the total volume occupied by the water vapour under the above conditions of temperature and pressure.

An oxygen cylinder of volume 30 L has an initial gauge pressure of 15 atm and a temperature of 27⁰C. After some oxygen is withdraw from the cylinder, the gauge pressure drop to 11 atm and its temperature drops to  17⁰ C.Estimate mass of oxygen taken out of the cylinder (R = 8.3 L mol^-1K^-1, molecular mass of O₂= 32)

An electric bulb of volume 250 cm³ was sealed off during manufacture at a pressure of 10^-3 mm of mercury at 27⁰C. Compute the number of air molecule contained in the bulb.Given that, molecules contained in the bulb. Given that, R = 8.31 J/mol/K N_A= \(6.02\times { 10 }^{ 23 }{ mol }^{ -1 }\).