Figure shows the graph of pressure versus volume of an ideal gas, taken from state A to C via three different paths, i.e., ABC, AC and ADC. The internal energies of the gas corresponding to the states A and C are (P_0V_0) and (5P_0V_0) respectively. DetermineThe total heat energy supplied to the system, during each Pressure of three processes ABC,AC and ADC.

Figure shows the graph of pressure versus volume of an ideal gas, take

1.	Figure shows the graph of pressure versus volume of an ideal gas, taken from state A to C via three different paths, i.e., ABC, AC and ADC. The internal energies of the gas corresponding to the states A and C are (P_0V_0) and (5P_0V_0) respectively. DetermineThe total heat energy supplied to the system, during each Pressure of three processes ABC,AC and ADC.
Answer» Solution : APPLYING, the FIRST law of thermodynamics, to the PROCESS : ABC from ` DELTA Q =Delta V + Delta W = 4P_0V_0 +2P_0 (2V_0 -V_0 ) =6P_0 V_0` For AC, from `Delta Q= Delta V +Delta W` `= 4P_0V_0+ 1/2[ 2P_0 +p_0 ] xx(2 V_0-V_0 ) = 5.5P_0V_0` ADC, we have ` Delta Q = Delta V+ Delta W = 4P_0V_0 +P_0 (2V_0– V_0 )=-5P_0 V_0 `