We have 0.5 g of hydrogen gas in a cubic chamber of size 3 cm kept at NTP. The gas in the chamber is compressed keeping the temperature constant till a final pressure of 100 atm. Is one justified in assuming the ideal gas law in the final state ? (Hydrogen molecules can be consider as spheres of radius `1Å`).

The rms velocity of hydrogen gas molecules at NTP is V rms^(-1) . The gas is heated at constant volume till the pressure becomes four times. The final rms velocity is

One mole of an ideal gas is compressed from 500 cm3 against a constant external pressure of 1.2 xx 10^5 Pa The work involved in the process is 36.0 J. Calculate the final volume.

If , at 50^@C and 75 cm of mercury prssure , a definite mass of a gas is compressed suddenly, then what will be the final pressure and temperature of the gas in each case if the final volume is one - fourth of the initial volume ? (y = 1.5)

The work done on the system when one mole of an ideal gas is compressed isothermally to a final volume of 0.01 m^(3) at constant external pressure of 5 bar is 20 kJ. What is initial volume of the gas?

The rectangular box shown in Fig has partition which can slide without friction along the length of the box. Initially each of the two chambers of the box has one mole of a mono-atomic ideal gas (lambda=5//3) at a pressure P_0 , volume V_0 and temperature T_0 . The chamber on the left is slowly heated by an electric heater. The walls of the box and the lead wires of the heater is negligible. The gas in the left chamber expands pushing the partition until the final pressure in both chambers becomes 243P_0//32 . Determine (i) the final temperature of the gas in each chamber and (ii) the work done by the gas in the right chamber.

The rectangular box shown in Fig has partition which can slide without friction along the length of the box. Initially each of the two chambers of the box has one mole of a mono-atomic ideal gas (lambda=5//3) at a pressure P_0 , volume V_0 and temperature T_0 . The chamber on the left is slowly heated by an electric heater. The walls of the box and the lead wires of the heater is negligible. The gas in the left chamber expands pushing the partition until the final pressure in both chambers becomes 243P_0//32 . Determine (i) the final temperature of the gas in each chamber and (ii) the work done by the gas in the right chamber.

A mixture of hydrogen and oxygen gas weighing 0.76g has volume 2 liter temperature 300K and pressure 100 kPa Calculate masses of hydrogen and oxygen in gas mixture Assume ideal nature .

One mole of an ideal monoatomic gas at temperature T and volume 1L expands to 2L against a constant external pressure of one atm under adiabatic conditions, then final temperature of gas will be: