$\mathrm{w}=-\int_{1}^{2} \mathrm{PdV}=-\int_{1}^{2} \frac{1}{\mathrm{V}^{n}} \mathrm{d} \mathrm{V} \Rightarrow$
$-\left[\frac{V^{-n+1}}{-n+1}\right]_{1}^{2}=\frac{1}{n-1}\left[\frac{1}{2^{n-1}}-1\right]=-0.375\, \mathrm{L}-\mathrm{atm}$
$\mathrm{V}^{2} \mathrm{T}=\mathrm{C}$
$\mathrm{T}_{\ell}=75\, \mathrm{K}$
$\Delta E=\frac{1}{24.63} \times \frac{3}{2} \times 0.0821[75-300]$
$=-1.125\, \mathrm{L} \text { -atm }$
$\Delta \mathrm{E}=\mathrm{q}+\mathrm{w}$
$=-1.125\, \mathrm{L}-\mathrm{atm}=-0.375+\mathrm{q}$
$\Rightarrow \mathrm{q}=-0.75\, \mathrm{L}-\mathrm{atm}=75.9\, \mathrm{J}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
In which of the following pair above statement is $NOT$ $CORRECT$ ?