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  • One mole of an ideal gas undergoes a cyclic change as shown in figure. The process   is isother

One mole of an ideal gas undergoes a cyclic change as shown in figure. The process \mathrm{AB}  is isothermal. The pressure and volume at point \mathrm{\mathrm{A}\: is \: 2.1 \times 10^5 \mathrm{~Pa}} and 22.4 liters, respectively. The temperature at \mathrm{\mathrm{C}} is


 

Option: 1

10^{\circ} \mathrm{C}


 


Option: 2

273 \mathrm{~K}
 


Option: 3

0 \mathrm{~K}
 


Option: 4

27^{\circ} \mathrm{C}


Answers (1)

best_answer

\mathrm{CA} is an isochoric process

\mathrm{\frac{P_A}{T_A}=\frac{P_C}{T_C} }

\mathrm{T_C= \frac{P_C}{P_A}, \quad T_A=\frac{1}{2} \times \frac{P_A V_A}{n R}=\frac{1}{2} \times \frac{2.1 \times 10^5 \times 22.4 \times 10^{-3}}{1 \times 8.314}=282.8 \approx 283 \mathrm{~K}}


 

Posted by

Ajit Kumar Dubey

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