Heat And Thermodynamics Ques 187
- Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be
(2014 Adv.)
(a) $550 K$
(b) $525 K$
(c) $513 K$
(d) $490 K$
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Answer:
Correct Answer: 187.(d)
Solution:
Formula:
- Let final equilibrium temperature of gases is $T$ Heat rejected by gas by lower compartment
$$ =n C _V \Delta T=2 \times \frac{3}{2} R(700-T) $$
Heat received by the gas in above compartment
$$ =n C _p \Delta T=2 \times \frac{7}{2} R(T-400) $$
Equating the two, we get
$$ \begin{aligned}187-3 T & =7 T-2800 \\ \Rightarrow \quad T & =490 K \end{aligned} $$
BETA
