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Question: Answered & Verified by Expert
An ideal gas undergoes a circular cycle centered at $4 \mathrm{~atm}, 4$ lit as shown in the diagram. The maximum temperature attained in this process is close to
PhysicsKinetic Theory of GasesKVPYKVPY 2015 (SB/SX)
Options:
  • A $30 / \mathrm{R}$
  • B $36 / \mathrm{R}$
  • C $24 / \mathrm{R}$
  • D $16 / \mathrm{R}$
Solution:
2484 Upvotes Verified Answer
The correct answer is: $30 / \mathrm{R}$
T Will be maximum when product of P.V will be maximum
$$
\mathrm{T}=\frac{P V}{n R}=\frac{\left(4+2 \sin 45^{\circ}\right)\left(4+2 \cos 45^{\circ}\right)}{n R}
$$
$\mathrm{T}=\frac{30}{n R} \times 100$ so either A or Bonus

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