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Ideal Gas Equation - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Ideal gas equation is considered one of the most asked concept.

  • 48 Questions around this concept.

Solve by difficulty

Which of the following shows the correct relationship between the pressure ‘P’ and density ρ of an ideal gas at constant temperature ?

‘n’ moles of an ideal gas undergoes a process A→B as shown in the figure. The maximum temperature of the gas during the process will be :

 For the P-V diagram given for an ideal gas,

out of the following which one correctly represents the T-P diagram ?

 

Concepts Covered - 1

Ideal gas equation
  • Ideal gas equation-

 The equation which relates the pressure (P), volume (V) and temperature (T) of the given state of an ideal gas is known as an ideal gas equation or equation of state.

From Boyle’s law, we get    V \propto \frac{1}{P} .....(1) 

and From Charle’s Law, we get  V \propto T ....(2)

And from Avogadro’s Law, we get  V \propto n   .... (3)

And from equation (1), (2), (3)

we can write

 \\ V \propto \frac{nT}{P}\\ or \ \frac{PV}{nT}=constant\\ \\or \ \frac{PV}{nT}=R \ (where \ \ R \ \ is \ proportionality \ constant)\\ \\ or PV=nRT

So Ideal Gas Equation is given as 

PV=nRT

where 

T= Temperature

P= pressure of ideal gas

V= volume

n= numbers of mole

R = universal gas constant

  • Universal gas constant (R)-

           At S.T.P. the value of the universal gas constant is the same for all gases.

          And its value is given as 

         R=8.31 \ \frac{Joule}{mole\times Kelvin}=2 \ \frac{cal}{mole\times Kelvin}

   \text { And its Dimension is : }\left[M L^{2} T^{-2} \theta^{-1}\right]

  • Boltzman's constant (k)-

           It is represented by per mole gas constant.

        i.e     k=\frac{R}{N}=\frac{8.31}{6.023 \times 10^{23}}=1.38 \times 10^{-23} \mathrm{J} / \mathrm{K}

  • Specific gas constant (r)-

        It is represented by per gram gas constant.

        \text { i.e. } \quad r=\frac{R}{M}

        \text { It's unit is } \frac{\text {Joule}}{\text { gm } \times \text {kelvin}}

 

 

  

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Ideal gas equation

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