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AP EAMCET · PHYSICS · Thermodynamics

If a gas of volume 400 cc at an initial pressure \(P\) is suddenly compressed to 100 cc, then its final pressure is
(The ratio of the specific heat capacities of the gas at constant pressure and constant volume is 1.5 )

  1. A \(\frac{P}{32}\)
  2. B 8 P
  3. C 32 P
  4. D 16 P
Verified Solution

Answer & Solution

Correct Answer

(B) 8 P

Step-by-step Solution

Detailed explanation

\(P_1 V_1^\gamma = P_2 V_2^\gamma\) \(P_2 = P_1 \left(\frac{V_1}{V_2}\right)^\gamma\) \(P_2 = P \left(\frac{400 \text{ cc}}{100 \text{ cc}}\right)^{1.5}\) \(P_2 = P (4)^{1.5}\) \(P_2 = P (4^{3/2})\) \(P_2 = P (8)\) \(P_2 = 8P\)
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