For isothermal expansion of an ideal gas, the correct combination of the thermodynamic parameters will be

For isothermal expansion of an ideal gas, the correct combination of the thermodynamic parameters will be
  1. $\Delta U=0, Q=0, W \neq 0$ and $\Delta H \neq 0$
  2. $\Delta U \neq 0, Q \neq 0, W \neq 0$ and $\Delta H=0$
  3. $\Delta U=0, Q \neq 0, W=0$ and $\Delta H \neq 0$
  4. $\Delta U=0, Q \neq 0, W \neq 0$ and $\Delta H=0$

Solution

For isothermal expansion of an ideal gas
$$
\Delta T=0
$$
$\therefore$ From $\Delta U=n C_{v} \Delta T$
$$
\begin{array}{l}
\Delta U=0 \text { and, from } \\
\Delta H=n C_{ho} \Delta t=0
\end{array}
$$
From first law of thermodynamics,
$$
\Delta U=Q+W
$$
as
$$
\Delta U=0 \Rightarrow Q \neq 0
$$
and
$$
W \neq 0
$$
$\therefore$ Parameters are
$$
\Delta U=0, Q \neq 0 ; W \neq 0
$$
and $\Delta H=0$ ,

Asked in: JEE-TOPICTESTS-CHEMISTRY

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