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What is the difference in heat capacities at constant volume and pressure?(a) Universal volume constant(b) Universal gas constant(c) Universal pressure constant(d) Universal temperature constantI had been asked this question during a job interview.My question comes from Thermodynamics Applications topic in chapter Thermodynamics of Chemistry – Class 11

Answer»

Correct OPTION is (B) Universal gas constant

To elaborate: We all KNOW that ΔH = ΔU + nRΔT; ΔH = nCPΔT and ΔU = nCvΔT; ΔH – ΔU = nCPΔT – nCvΔT = n(CP – CV) ΔT. By equating L.H.S. and R.H.S., we get n(CP – CV) ΔT = nRΔT; CP – CV = R. Hence it’s PROVEN that difference of heat capacities at constant volume and pressure is the universal gas constant.



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