Kinetic Theory ...

The molar heat capacity in  a process of a  diatomic gas if does a work of $$\frac{Q}{4}$$  when a heat of  Q is supplied to is 

One mole of an ideal gas passes through a process where pressure and volume obey the relation $$P = P_0 \left[1 - \dfrac{1}{2} \left(\dfrac{V_0}{V} \right)^2 \right]$$. Here $$P_0$$ and $$V_0$$ are constants . Calculate the change in the temperature of the gas if its volume change from $$V_o $$ to $$2 V_o$$.

Three lawn chairs, one made up of aluminium (heat capacity $$=0.90J/K-g$$), one of iron (heat capacity $$=0.45J/K-g$$) and one of tin (heat capacity $$=0.60J/K-g$$) are painted of the same colour. On a sunny day which chair will be hotter to sie?

The values of $$C_{P, m}$$ of $$N_{2}(g)$$ and $$H_{2}O (g)$$ (in $$cal/K-mol$$) should be 

An average human produces about $$10MJ$$ of heat each day through metabolic activity. If a human body were an isolated system of mass $$80kg$$ with the heat capacity of water, what temperature rise would be body experience? Heat capacity of water $$=4.2J/K-g$$

The heat capacity of liquid water is $$75.6J/K-mol$$, while the enthalpy of fusion of ice is $$6.0kJ/mol$$. What is the smallest number of ice cubes at $${0}^{o}C$$, each containing $$9.0g$$ of water, needed to cool $$500g$$ of liquid water from $${20}^{o}C$$ to $${0}^{o}C$$?

One gram-mole of an ideal gas $$A$$ with the ratio of constant pressure and constant volume specific heats, $$\gamma _A = \dfrac{5}{3}$$ is mixed with $$n$$ gram-moles of another ideal gas $$B$$ with $$\gamma_B = \dfrac{7}{5}$$. If the $$\gamma$$ for the mixture is $$\dfrac{19}{13}$$ what will be the value of $$n$$?

In a model of chlorine $$(Cl_2)$$, two $$Cl$$ atoms are rotated about their centre of mass as shown. Here the two $$'CI'$$ atoms are $$2\times 10^{-10}m$$ apart and angular speed $$\omega =2\times 10^{12}\ rad/s$$. If the molar mass of chlorine is $$70\ g/mol$$, then what is the rotational kinetic energy of one $$Cl_2$$ molecule?

If at NTP, velocity of sound in a gas is $$1150\ m/s$$, then the $$rms$$ velocity of gas molecules at $$NTP$$ is :( Given : $$R=8.3\ joule/mol/K, C_p=4.8\ cal/mol/K$$)

We would like to increase the length of a $$15\ cm$$ long copper rod of cross-section $$4\ mm^2$$ by $$1\ mm$$. The energy absorbed by the rod if it is heated is $$E_1$$. The energy absorbed by the rod if it is stretched slowly is $$E_2$$. Then $$E_1 /E_2$$ is: