Question 3: Thermodynamics & KTG

Question

In an isobaric process, the work done by a
di-atomic gas is 10 J, the heat given to the
gas will be

Accepted Answer

Given, for isobaric process,
Work done by a di-atomic gas
By ideal gas equation, at constant pressure,
$p \Delta V=n R \Delta T$ .... (i)
$	herefore$ Work done,
$\begin{aligned}
& W=p \Delta V \
& W=n R \Delta T \quad 	ext{.... (ii)}
\end{aligned}$
At constant pressure, heat given to gas is given by
$Q=n C_p \Delta T$ ..... (iii)
where, $C_p=$ specific heat at constant pressure
From Eqs. (ii) and (iii), we get
$\frac{W}{Q}=\frac{n R \Delta T}{n C_p \Delta T}=\frac{R}{C_p}$
$\begin{aligned}
& =\frac{R}{\frac{(f+2) R}{2}} \quad\left[\because C_p=\frac{(F+2) R}{2}ight] \
\frac{W}{Q} & =\frac{2}{f+2} \quad[\because W=10 \mathrm{~J} 	ext { (given) }] \
\frac{10}{Q} & =\frac{2}{5+2} \quad[	ext { For di-atomic gas, } f=5] \
\Rightarrow \quad Q & =35 \mathrm{~J}
\end{aligned}$

Answer

35 J

Answer

30 J

Answer

45 J

Answer

60 J

Thermodynamics & KTG

In an isobaric process, the work done by a di-atomic gas is 10 J, the heat given to the gas will be

Choose the correct answer: