Kinetic Theory ...

The root mean square speed of hydrogen molecules at 300 K is 1930 m/s then the root mean square speed of oxygen molecules at 900 K will be 

Two moles of an ideal monoatomic gas occupies a volume V at $$27^{\circ}C$$. The gas expands adiabatically to a volume 2 V. Calculate (a) the final temperature of the gas and (b) change in its internal energy.

Three closed vessels $$A , B$$ and $$C$$ are at the same temperature $$T$$ and contain gases which obey Maxwell distribution law of velocities. Vessel $$A$$ contains $$\mathrm { O } _ { 2 } , B$$ only $$N _ { 2 }$$ and $$C$$ mixture of equal a quantities of $$\mathrm { O } _ { 2 }$$ and $$\mathrm { N } _ { 2 } .$$ If the average speed of the $$\mathrm { O } _ { 2 }$$ molecules in vessel $$A$$ is $$v _ { 1 }$$ that of $$\mathrm { N } _ { 2 }$$ molecules in vessel $$B$$ is $$v _ { 2 }$$ then the average speed of the $$\mathrm { O } _ { 2 }$$ molecules in vessel $$C$$ is

A particle of mass $$1 kg$$ is moving in a circular path of radius $$1 m$$ with constant speed of $$1 m/s$$. If the particle moves from positive A to B, then the magnitude of change of velocity is.

Helium at $$27^0\,C$$ has a volume of $$8$$ liters. It is suddenly compressed to a volume of $$1$$litre. The temperature of the gas will be $$[\gamma=5/3]$$

A certain mass of gas undergoes a process given by $$dU=\dfrac{dW}{2}$$. If the molar heat capacity of the gas for this process is $$\dfrac{15}{2}R$$, then the gas is :

Find the approx. number of molecules contained in a vessel of volume 7 litres at $$^ { \circ } C$$  at $$1.3 \times 10 ^ { 5 }$$ pascal

A certain mass of gas undergoes a process given by $$dU = \frac{dW}{2}$$ . If the molar heat capacity of the gas for this process is $$\frac{15}{2} R$$, then the gas is :

The heat capacity at constant volume of a sampleof 192 g of gas in a container of volume 80$$\mathrm { L }$$ at atemperature of $$402 ^ { \circ } \mathrm { C }$$ and at a pressure of$$4.2 \times 10 ^ { 5 } \mathrm { Pa }$$ is 124.5$$\mathrm { JK }$$ . The number of thedegrees of freedom of the gas molecules is 

A monoatomic gas is kept at room temperature 300 k Calculate the average kinetic energy of gas molecule (use $$k = 1.38 \times 10 ^ { - 23 }$$ MKS unite )