
Assertion $A$ : If $dQ$ and $dW$ represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics $d Q=d U-d W$.
Reason $R :$ First law of thermodynamics is based on law of conservation of energy.
In the light of the above statements, choose the correct answer from the option given below :
Match the paths in List $I$ with the magnitudes of the work done in List $II$ and select the correct answer using the codes given below the lists.
| List $I$ | List $I$ |
| $P.$ $\quad G \rightarrow E$ | $1.$ $\quad 160 P_0 V_0 \ln 2$ |
| $Q.$ $\quad G \rightarrow H$ | $2.$ $\quad 36 P _0 V _0$ |
| $R.$ $\quad F \rightarrow H$ | $3.$ $\quad 24 P _0 V _0$ |
| $S.$ $\quad F \rightarrow G$ | $4.$ $\quad 31 P_0 V_0$ |
Codes: $ \quad \quad P \quad Q \quad R \quad S $ 
