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

AIIMS 2010 · Physics · Kinetic Theory of Gases

Graph of specific heat at constant volume for a monoatomic gas is

Graph of specific heat at constant volume for a monoatomic gas isGraph of specific heat at constant volume for a monoatomic gas isGraph of specific heat at constant volume for a monoatomic gas isGraph of specific heat at constant volume for a monoatomic gas isGraph of specific heat at constant volume for a monoatomic gas is

Options

  1. AIf A = ∫_0^π ( x)/(x) dx , then ∫_0^ π/2 ( 2x)/(x) dx is equal to :
  2. BIf A = ∫_0^π ( x)/(x) dx , then ∫_0^ π/2 ( 2x)/(x) dx is equal to :
  3. CIf A = ∫_0^π ( x)/(x) dx , then ∫_0^ π/2 ( 2x)/(x) dx is equal to :
  4. DIf A = ∫_0^π ( x)/(x) dx , then ∫_0^ π/2 ( 2x)/(x) dx is equal to :

Correct answer

C. If A = ∫_0^π ( x)/(x) dx , then ∫_0^ π/2 ( 2x)/(x) dx is equal to :

Step-by-step solution

According to first law of thermodynamics Δ\DeltaQ=Δ\DeltaU+P Δ\DeltaV If ΔQ\Delta Q is absorbed at constant volume, ΔV=0\Delta V=0 C_V=\left(\frac{\Delta Q}{\Delta T}\right)_V=\left(\frac{\Delta U}{\Delta T}\right)_V=ΔUΔT\frac{\Delta U}{\Delta T}for an ideal monoatomic gas ΔUΔT=32\frac{\Delta U}{\Delta T}=\frac{3}{2}R ; C_V=32\frac{3}{2}R
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