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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2010 · Physics · Kinetic Theory of Gases

A monoatomic gas at pressure p_1 and V_1 is compressed...

A monoatomic gas at pressure p1p_1 and V1V_1 is compressed adiabatically to 18\frac{1}{8} th its original volume. What is the final pressure of the gas?

Options

  1. A64p164 \mathrm{p}_1
  2. Bp1\mathrm{p}_1
  3. C16p116 \mathrm{p}_1
  4. D32p132 \mathrm{p}_1

Correct answer

D. 32p132 \mathrm{p}_1

Step-by-step solution

\quad \mathrm{p}_1 \mathrm{~V}_1^{5 / 3}=\mathrmp^{\prime}\left(\frac{\mathrm{V}_1}{8}\right)^{5 / 3} p′=p1(8)5/3=p1×25p′=32p1\begin{aligned}p^{\prime} & =p_1(8)^{5 / 3} \\ & =p_1 \times2^5 \\ p^{\prime} & =32 p_1 \end{aligned}
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