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NEET
Exam
NEET
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET · Physics · Kinetic Theory of Gases

One mole of ideal gas undergoes a linear process as shown in figure...

One mole of ideal gas undergoes a linear process as shown in figure below. Its temperature expressed as a function of volume V\mathrm{V} is. One mole of ideal gas undergoes a linear process as shown in figure below. Its temperature expressed as a function of

Options

  1. AP0V0R\frac{P_{0} V_{0}}{R}
  2. BP0VR\frac{P_{0} V}{R}
  3. CP0VR(1−VV0)\frac{P_{0} V}{R}\left(1-\frac{V}{V_{0}}\right)
  4. DP0VR(1−(VV0)2)\frac{P_{0} V}{R}\left(1-\left(\frac{V}{V_{0}}\right)^{2}\right)

Correct answer

C. P0VR(1−VV0)\frac{P_{0} V}{R}\left(1-\frac{V}{V_{0}}\right)

Step-by-step solution

P=−P0V0V+P0&PV=nRTP=\frac{-P_{0}}{V_{0}} V+P_{0}\&P V=n R T PV=nRT∴T=P0VR[1−VV0]\begin{array}{l}P V=n R T \\ \therefore T=\frac{P_{0} V}{R}\left[1-\frac{V}{V_{0}}\right] \end{array}
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