Question

During an adiabatic compression, $830\, J$ of work is done on $2$ moles of a diatomic ideal gas to reduce its volume by $50\%$. The change in its temperature is nearly : $(R = 8.3 JK^{-1}\, mol^{-1})$

• A. 40 K
• B. 33 K
• C. 20 K
• D. 14 K

Answer 1

Answer: (C)

20 K

Answer 2

The work done in adiabatic process is given as
$W=\frac{n R \Delta T}{\gamma-1}$
or
$830=\frac{2 \times 8.3 \times \Delta T}{1.4-1}$
$\Delta T=20 K$