Question

3 1. One mole of an ideal gas expands isothermally at T = 20°C from 1.2 m² to 1.8 m². The gas constant is given by R= 8.314 J/mol K). (a) Calculate the work done by the gas during the isothermal expansion. W= (b) Calculate the heat transfered during the expansion Q= (c) What is the change in entropy of the gas? AS аук (c) What is the entropy change of the thermal reservoir? AS reservar JK (d) What is the entropy change for the gas+reservior system? AS JK Hint: For an isothermal process how is the heat transferred by an ideal gas related to work? What is the formula for work done by an ideal gas during isothermal expansion? system

Answer 1

Temperature T = 20°C =(273+200k In=1 male &T=293k Initial volume/Ni=12m3 Final volume p = 1.8m3 Cras constant (R=8.3145/(malt) à Work done by the gas Wg NRT en Vf Vi Wy= 1X8.314x223x1112) J is - J >W, = 987.7141 b: Change in internal energy Au=0 Heat given to the gas Qgay =(987.714+0)5 WHAU is Qão 987.7145 gees Change in entropy of the gas is Qgas 987.714 IK as gees T 293 Asgas Sgas = 3.3715/k! CS Cam Lanne-

@ Heat is released by thermal reservoar at T=293K. Qgas= = 1987.714 I reservoir 987.74 T 293 eresen as reservain Areservoir 5/6 n as reservoir =-3.3715/k gas + reservoir tabreservary. 0 Entropy change for system is AS system = AS gay * Asystem=(3-371-3.372)5/k Scanned wito Camscanner