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If ideal diatomic gas follows the process as shown in graph where T is temperature in kelvin and V is volume (m3), then molar heat capacity for this process will be [in terms of gas constant R],

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Important Questions on Thermodynamics

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JEE Main
IMPORTANT

Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position. With the passage of time,

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The pressure P, volume V and temperature T of a certain material are related by the equation P=αT2/V. The work done by the material at constant pressure, when the temperature changes from T0 to 2T0, is
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JEE Main
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Ideal gas is taken through a process as shown in figure

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A work of 146 kJ is performed on the gas, in order to compress one-kilo mole of gas adiabatically and into this process the temperature of the gas increases by 7°C. The gas is R=8.3 J mol-1 K-1
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An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant. If during this process, the relation of pressure P and volume V is given by, PVn=constant, then n is given by (CP=molar specific heat at constant pressure, CV=molar specific heat at constant volume),
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At low temperatures, the molar heat capacity of solids at constant pressure depends on the absolute temperature T according to the law CT=CT0TT03. One mole (40 g) of solid argon at temperature 8 K is brought into thermal contact with 2 kg of solid argon at a temperature of 1 K and they insulated everything together. What will be the temperature (in K ) of the substance when thermal equilibrium is established? Round off to nearest integer.
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A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to it, the final equilibrium temperature (in K) of the gas in the vessel will be close to _______.

(Note: Round off the answer to nearest integer)

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A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then