(i) A sample of a gas initially at 27^(@) C is compressed from 40 litres to 4 litres adiabatically and reversibly. Calculate the final temperature (C_(v) =5) cal/mole. (ii) Calculate the maximum work done in expanding 16 gm of oxygen at 300 K and occupying, a volume of 5 dm^(3) isothermally until the volume becomes 25 dm^(3). (iii) 10 gm of argon gas is compressed isothermally and reversibly at a temperature of 27^(@) C from 10 litre to 5 litre. Calculate q, w.DeltaE and DeltaH for this process.(R = 2.6 kcal/K).

(i) A sample of a gas initially at 27^(@) C is compressed from 40 litr

1.	(i) A sample of a gas initially at 27^(@) C is compressed from 40 litres to 4 litres adiabatically and reversibly. Calculate the final temperature (C_(v) =5) cal/mole. (ii) Calculate the maximum work done in expanding 16 gm of oxygen at 300 K and occupying, a volume of 5 dm^(3) isothermally until the volume becomes 25 dm^(3). (iii) 10 gm of argon gas is compressed isothermally and reversibly at a temperature of 27^(@) C from 10 litre to 5 litre. Calculate q, w.DeltaE and DeltaH for this process.(R = 2.6 kcal/K).
Answer» Solution :(i) 753.6 K (II) `(-2.01 xx 10^(3))`J (iii) `w=-103.635 cal, DELTAE =0, q=103.635` cal