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  4. A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperature of the gas increases by 1°C if 3.0 cal of heat is added to it. The gas may be :

Q. A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperature of the gas increases by if of heat is added to it. The gas may be :

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Solution:

We use which gives cal hence the gas is monoatomics so options (A) and (B) can be correct.

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3. One mole of an ideal gas at temperature was cooled isochorically till the gas pressure fell from to . Then, by an isobaric process, the gas was restored to the initial temperature. The net amount of heat absorbed by the gas in the process is

4. Two identical containers and with frictionless pistons contain the same ideal gas at the same temperature and same volume . The mass of the gas in is and that in is . The gas in each cylinder is now allowed to expand isothermally to the same final volume . The changes in the pressure in and are found to be and respectively. Then

5. An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cros section . Initially the gas is at 300K and occupies a volume of and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by . The force constant of the spring is and the atmospheric pressure is . The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be :
(Neglect the heat loss through the lead wires of the heater. The heat capacity of the heater coil is also negligible)

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