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Some students find values of CV and CP for gas in cal K-1 mol-1. Which pair is most correct?

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Important Questions on Thermodynamics

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A mixture is prepared using 1 mole of a gas A with γ=75 and 1 mole of a gas B with γ=53. Find the value of γ for the mixture.
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The molar heat capacity at the constant volume of oxygen gas at STP is nearly 2.5R. As the temperature is increased, it gradually increases and approaches 3.5R. The most appropriate reason for this behaviour is that at high temperatures
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Two moles of an ideal helium gas are in a rubber balloon at 30 °C. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35 °C. The amount of heat required in raising the temperature is nearly (take, R=8.31 J mol-K)
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The molar specific heat at constant pressure of an ideal gas is 72R. The ratio of specific heat at constant pressure to that at constant volume is 

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(a) Prove that for a monatomic gas the ratio of molar specific heat at constant pressure to molar specific heat at constant volume is 1.67.
(b) Is it possible to boil water without heating? Explain.
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One mole of the ideal monatomic gas (γ=53) is mixed with one mole of diatomic gas (γ=75). What is γ for the mixture? γ denotes the ratio of specific heat at constant pressure, to that at constant volume.
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A gaseous mixture consists of 16 g of helium and 16 g of oxygen. The ratio CpCv of the mixture is:
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If Cp and Cv denotes the specific heats of nitrogen per unit-mass at constant pressure and constant volume respectively, then :