A cylinder contains 1.2 moles of ideal gas, initially at a temperature of 116 de

Question

A cylinder contains 1.2 moles of ideal gas, initially at a temperature of 116 degree C. The cylinder is provided with a frictionless piston, which maintains a constant pressure of 6.4 times 10^5 Pa on the gas. The gas is cooled until its temperature has decreased to 27 degree C, using C_V = 11.65 J/mol.K find the work done by (or on) the gas during this process. Is the work done by or on the gas? (1) 1200 J (the positive sign means that work is done on the gas) (2) -1200 J (the negative sign means that work is done by the gas) (3) -890 J (the negative sign means that work is done on the gas) (4) 810 J (the positive sign means that work is done by the gas) (5) None of the above

Explanation / Answer

FOR constant pressure process,

W = P deltaV = n R deltaT

and P V = n R T

delta(PV) = n R deltaT

P deltaV = n R deltaT

W = 1.2 x 8.314 x (27- 116) = -887.94 J

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