Question

Match the Column - I with Column - II
$\begin{array}{cc}Column-I\left(IdealGas\right)& \text{Column - II (Related equation)}\\ \text{(A) Reversible isothermal process}& \left(P\right)W=2.303nRTlog\left(P_2/P_1\right)\\ \text{(B) Reversible adiabatic process}& \left(Q\right)W=n{C}_{v,m}(T_2-T_1)\\ \text{(C) Irreversible adiabatic process}& \left(R\right)PV=nRT\\ \text{(D) Irreversible isothermal process}& \left(S\right)W=-{\int }_{v_i}^{v_f}{P}_{ext.}dV\end{array}$

• A. $A)P,R,S$
  $B)Q,R,S$
  $C)Q,R,S$
  $D)R,S$
• B. $A)P,S$
  $B)Q,S$
  $C)Q,R,S$
  $D)R,S$
• C. $A)P$
  $B)Q,S$
  $C)Q,S$
  $D)R,S$
• D. $A)P,Q,R,S$
  $B)Q,S$
  $C)Q,S$
  $D)R,S$

Answer 1

The correct option is A $A)P,R,S$

$B)Q,R,S$
$C)Q,R,S$
$D)R,S$
From first law, we know. $\Delta U=q+w$
For adibatic process: q = 0,
for isothermal process: $\Delta U=0$
Using PV = nRT and $\Delta U=n{c}_{v}dT$
we get the correct options as
$\left[A\right]\to P,R,S$
$\left[B\right]\to Q,R,S$
$\left[C\right]\to Q,R,S$
$\left[D\right]\to R,S$