Kinetic Theory ...

A diatomic gas is heated at certain pressure. What fraction of the heat energy is used to increase the internal energy?

If the average kinetic energy of a molecule of a hydrogen gas at $$300$$K is E, then the average kinetic energy of a molecule of a nitrogen gas at the same temperature is:

The gases are at absolute temperature $$300^oK$$ and $$350^oK$$ respectively. The ratio of average kinetic energy of their molecules is 

Match the List - I with List - II:

A container is filled with $$20$$ moles of an ideal diatomic gas at absolute temperature $$T$$. When heat is supplied to gas, temperature remains constant but $$8$$ moles dissociate into atoms. Heat energy given to gas is 

A sample of gas in a box is at pressure $${ P }_{ 0 }$$ and temperature $${ T }_{ 0 }$$. If number of molecules is doubled and total kinetic energy of the gas kept constant then final temperature and pressure will be

The mean kinetic energy of one mole of gas per degree of freedom (on the basis of kinetic theory of gases) is

The specific heat of a gas is found to be $$0.075$$ calories at constant volume and its formula $$wt$$ is $$40$$. The atomicity of the gas would be:

The temperature (T) of one mole of an ideal gas varies with its volume (V) as $$T = -\alpha { V }^{ 3 }+\ \beta { V }^{ 2 }$$, where $$\alpha$$ and $$\beta$$ are positive constants. The maximum pressure of gas during this process is

X g of ice at $$0^o$$C is added to $$340$$g of water at $$20^o$$C. The final temperature of the resultant mixture is $$5^o$$C. The value of X (in g) is closest to. [Heat of fusion of ice$$=333\ J/g$$; Specific heat of water $$=4.184\ J/(g. K)$$].