The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.
If the process on one mole of monatomic ideal gas is as shown in the TV-diagram with `P_0 V_0 = 1/3 RT_0`, the correct match is,

Options

A. `I to P , II to T, III to Q , IV to T`
B. `I to P , II to R, III to T , IV to S`
C. `I to S, II to T, III to Q , IV to U`
D. `I to P , II to R, III to T , IV to P`

Answer

D

Explanation

`1 to 2` Isothermal process
`2 to 3` Isochoric process
`W_(1to2) =" nRT In"V_2/V_1 = 1xxR xxT_0/3 "In"(2V_0)/V_0 = (RT_0)/3 "In 2"`
`U_(1 to 2to3) = U_(2 to 3) = 3/2 "nR"Delta T = 3/2 (1) xxR xx (2T_0)/3 = RT_0`
`Q_(1 to 2 to 3) = W_(1 to 2) +U_(2to3) =(RT_0)/3 (3 + "In 2")`
`Q_(1 to 2 to 3) = W_(1 to 2) =(RT_0)/3 "In 2"`