The volume of a gas and the number of gas molecules within that volume for four situations are
(1) `2V_(0)andN_(0)` (2) `3V_(0)and3N_(0)`
(3) `8V_(0)and4N_(0)` (4) `3V_(0)and9N_(0)`
Which of them has mean free path greatest?

The volume of a given mass of gas at 273K is x ? The volume of it at 20^(0)C is V_(20) .Then its volume at 25^(0)C is (1) 25x (2) V_(20) +(25x)/(273) (3) V_(20) +(5x)/(273) (4) V_(20) X5x

For a gas sample with N_(0) number of molecules, function N(V) is given by: N(V) = (dN)/(dV) = ((3N_(0))/(V_(0)^(3)))V^(2) for 0 lt V lt V_(0) and N(V) = 0 for V gt V_(0) . Where dN is number of molecules in speed range V to V+ dV . The rms speed of the molecules is:

In the following table the number of molecules N _(1) moving with definite velocity v_(1) m/s are given {:(v _(i) , 1.0, 2.0,3.0,4.0,5.0),( N _(i), 2,4,6,8,2):} .In the above question, the root mean square speed of particle is –

In the following table the number of molecules N _(1) moving with definite velocity v_(1) m/s are given {:(v _(i) , 1.0, 2.0,3.0,4.0,5.0),( N _(i), 2,4,6,8,2):} . The mean speed of particle is –

n moles of gas in a cylinder under a piston is transferred infinintley slowly from a state with a volume of V_(0) and a pressure 3 P_(0) to a state with a volume of 3 V_(0) and a pressure P_(0) as shown in Fig. The maximum temperature that gas will reach in this process is