Kinetic Theory ...

Three vessels of equal capacity have gases at the same pressure and temperature. The first vessel contains monoatomic gas, the second contains diatomic gas and third contains polyatomic gas. Which vessel contains more number of molecules?

An ideal monoatomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas is

$$3$$ mole of $$Ag$$ is heated from $$300K$$ to $$1000K$$. Calculate $$\Delta H$$ when $$P = 1atm$$ and $$C_p = 23 + 0.01T$$.

$$5$$ moles of an ideal gas at $$100 \,K$$ are allowed to undergo reversible compression till its temperature becomes $$200 \,K$$.
If $$C_v = 28 \,JK^{-1} mol^{-1}$$, calculate $$\Delta U$$ and $$\Delta PV$$ for this process. $$(R = 8.0 \,JK^{-1} mol^{-1})$$

If the diatomic gas molecule is not rigid but has in addition a vibrational mode, then for this gas

An ideal monoatomic gas undergoes a process in which its internal energy $$U$$ and density $$p$$ vary as $$U/p=constant$$. The ratio of change in internal energy and the work done by the gas is 

Consider a collision between an argon molecule and a nitrogen molecule in  mixture of argon and nitrogen kept at room temperature. Which of the  following are possible ? 

If $$\alpha $$  moles of a monoatomic gas are mixed with  $$\beta $$  moles  of a polyatomic gas and  mixture behaves like  diatomic gas, then  [ neglect the vibrational mode of freedom ) 

The total kinetic energy of all the molecules of helium having a volume V exerting a pressure P is 1500 J.  The total kinetic  energy  in joules of all the molecules of $$N_{2}$$   having the same volume V  exerting a pressure 2P is-  

A container has N molecules at absolute temperature  T   If the  number of molecules is doubled but  kinetic energy in    box   remains the same as before,  the absolute temperature of the gas is