Match List-I with List-II. Given V_1 and V_2 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) . For a reversible isothermal expansion, the work done is $w = -nRT \ln(V_2/V_1)$. Since $\Delta U = 0$ for an isothermal process, $q = -w = nRT \

Vedclass · Accepted Answer

$A-II, B-I, C-III, D-IV$

Vedclass · Answer

(C) . For a reversible isothermal expansion, the work done is $w = -nRT \ln(V_2/V_1)$. Since $\Delta U = 0$ for an isothermal process, $q = -w = nRT \ln(V_2/V_1)$. Thus, $A-II$.
$B$. In free expansion, the gas expands against zero external pressure $(P_{ext} = 0)$, so $w = 0$. For an isothermal process, $\Delta U = 0$, hence $q = 0$. Thus, $B-I$.
$C$. For an irreversible compression, the work done is $w = -P_{ext}(V_2 - V_1) = P_{ext}(V_1 - V_2)$. Thus, $C-III$.
$D$. For a cyclic reversible process, the entropy change of the system is zero $(\oint dS = 0)$. Since $dS = dq_{rev}/T$, it follows that $\oint \frac{dq_{rev}}{T} = 0$. Thus, $D-IV$.
The correct matching is $A-II, B-I, C-III, D-IV$.

List-$I$ (Isothermal process)	List-$II$ (Expression)
$A$. Reversible expansion	$I$. $q = 0$
$B$. Free expansion	$II$. $q = nRT \ln \frac{V_2}{V_1}$
$C$. Irreversible Compression	$III$. $w = -P_{ext}(V_1 - V_2)$
$D$. Cyclic reversible	$IV$. $\frac{q_{rev}}{T} = 0$

Similar Questions

For the reaction: $A_{(g)} + B_{(s)} \rightleftharpoons 2C_{(g)} + D_{(g)}$,given $\Delta U = 5.0 \ kcal$ and $\Delta S = 50 \ cal \ K^{-1}$ at $400 \ K$. Calculate $\Delta G$ for the reaction. (in $kcal$)

The ${\Delta _c}{U^\circ}$ of combustion of $CH_{4(g)}$ at a certain temperature is $-100 \ kJ/mol$. The value of ${\Delta _c}{H^\circ}$ is

For the process $H_2O_{(l)} (1 \, bar, 373 \, K) \rightarrow H_2O_{(g)} (1 \, bar, 373 \, K)$,identify the correct thermodynamic parameters.

For the reaction
$A_{(\ell)} \rightarrow 2 B_{(g)}$
$\Delta U = 2.1 \; kcal, \Delta S = 20 \; cal \; K^{-1} \; mol^{-1}$ at $300 \; K$
Hence $\Delta G$ in $kcal \; mol^{-1}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module