Figure below shows two paths that may be taken by a gas to go from a state A to a state C. In process AB, 400 J of heat is added to the system and in process BC 100 J of heat is added to the system. The heat absorbed by the system in the process AC will be .....

Options

A. 380 J
B. 500 J
C. 460 J
D. 300 J

Answer

C

Explanation

In cyclic process ABCA,
`DeltaU_"cyclic"=0`
`Q_"cyclic"=W_"cyclic"`
`Q_(AB)+Q_(BC)+Q_(CA)` = closed loop area

`400+100+Q_(CA)=1/2` base x height
`500-Q_(AC)=1/2xx2xx10^(-3)xx4xx10^4`
`500-Q_(AC)=40`
`therefore Q_(AC)`=460 J