The pressure exerted by an ideal gas is __________ of the kinetic energy of all the molecules contained in a unit volume of gas.

  • Option 1)

    one-half

  • Option 2)

    one-third

  • Option 3)

    two-third

  • Option 4)

    three-fourth

 

Answers (2)

As we learnt in

Kinetic energy of a gas due to translation per mole -

E= \frac{3}{2}PV

= \frac{3}{2}RT
 

- wherein

R = Universal gas constant

T = temperature of gas

 

 Relation between pressure and kinetic energy is

 E= \frac{3}{2}\ PV

\Rightarrow P=\frac{2}{3}\left ( \frac{E}{V} \right )


Option 1)

one-half

This option is incorrect

Option 2)

one-third

This option is incorrect

Option 3)

two-third

This option is correct

Option 4)

three-fourth

This option is incorrect

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