1. (a) Define what is meant by heat and work in thermodynamics. (b) Define what is...

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1. (a) Define what is meant by heat and work in thermodynamics. (b) Define what is meant by an adiabatic process. Show that in an adiabatic expansion or compression of an ideal gas with f degrees of freedom, the temperature T and volume V of the gas must satisfy the relation VTf/2 = constant. - (c) An ideal polyatomic gas, with 6 degrees of freedom, is at a pressure p = 1.05 105 Pa and temperature T = 84.5C, and occupies a volume of V 84.5C, and occupies a volume of V = 2.00 litres. It is then taken through the following cyclic process: - - A. The gas is adiabatically compressed to a volume V = V/10. B. The gas is heated at constant volume to a temperature T3 = : 700C. C. The gas expands adiabatically until it reaches the initial volume V. D. The gas is cooled at constant volume to its original temperature T. i. Draw this cycle in a (p, V) diagram. ii. Compute the heat added to the gas and the work done by the gas in each of the stages A-D. iii. The efficiency of this cycle is given by the net work done in the cycle divided by the heat Qin added in stage B. Compute this efficiency. 1. (a) Define what is meant by heat and work in thermodynamics. (b) Define what is meant by an adiabatic process. Show that in an adiabatic expansion or compression of an ideal gas with f degrees of freedom, the temperature T and volume V of the gas must satisfy the relation VTf/2 = constant. - (c) An ideal polyatomic gas, with 6 degrees of freedom, is at a pressure p = 1.05 105 Pa and temperature T = 84.5C, and occupies a volume of V 84.5C, and occupies a volume of V = 2.00 litres. It is then taken through the following cyclic process: - - A. The gas is adiabatically compressed to a volume V = V/10. B. The gas is heated at constant volume to a temperature T3 = : 700C. C. The gas expands adiabatically until it reaches the initial volume V. D. The gas is cooled at constant volume to its original temperature T. i. Draw this cycle in a (p, V) diagram. ii. Compute the heat added to the gas and the work done by the gas in each of the stages A-D. iii. The efficiency of this cycle is given by the net work done in the cycle divided by the heat Qin added in stage B. Compute this efficiency.

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