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

Q: 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 temperahture is nearly..... $K$ $(R\, = 8.3\, J\,K^{-1}\, mol^{-1} )$

c $Given:Work\,done,W=830J$ no, of moles of gas, $\mu =2$ For diatomic gas $\gamma = 1.4$ Work done during an adiabatic change $W = \frac{{\mu R\left( {{T_1} - {T_2}} \right)}}{{\gamma - 1}}$ $ \Rightarrow 830 = \frac{{2 \times 8.3\left( {\Delta T} \right)}}{{1.4 - 1}} = \frac{{2 \times 8.3\left( {\Delta T} \right)}}{{0.4}}$ $ \Rightarrow \Delta T = \frac{{830 \times 0.4}}{{2 \times 8.3}} = 20\,K$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

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 temperahture is nearly..... $K$ $(R\, = 8.3\, J\,K^{-1}\, mol^{-1} )$

A$40$
B$33$
C$20$
D$14$

JEE MAIN 2014, Medium

STD 11 Science
NEET
STD 11 - 11. thermodynamics
Physics

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