Question
n1 and n2 moles of two different gases A and B are mixed together. If Cp1 and Cp2be the specific heats at constant pressure and Cvl and Cv2 be the specific heats at constant volume of gases respectively, then what is the Cp and Cv of mixture and hence find the value of γ.
Solution
Heat required to raise the temperature of n1 moles of gas A at constant volume through 1°C is given by,
Heat required to raise the temperature of n2 moles of gas B at constant pressure through 1°C is,
Therefore,
Total quantity of heat required to raise the temperature of mixture of (n1 + n2) moles through 1°C at constant volume,
Heat required to raise the temperature of 1 mole of mixture through 1°C at constant volume,
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Similarly, heat required to raise the temperature of 1 mole of mixture through 1°C at constant pressure,
So, the ratio of specific heat is given by,
