Question

Find the change in Kinetic energy of 1 mole of an ideal gas when temperature changes by 50℃.​

Answer 1

The kinetic molecular theory of gases mainly includes:

• In comparison of total volume, volume taken by the gas molecules will be negligible .

•The Kinetic energy of a gas depends mostly on the temperature.

•The Kinetic energy doesn't depend on the nature of gas .

•The force of attraction doesn't exist in case of gases .

The Kinetic gas equation is :

PV = 1/3mnUrms²

Here:-

P is pressure on the gas ,

V is the volume occupied ,

m is to be the mass of the gas molecule ,

n is number of moles of the gas and Urms² is the root mean square Velocity.

Also:-

Kinetic energy (K.E) of n moles of a gas = n×3/2RT

Change in kinetic energy (K.E) = Kf - Ki

As the formula for K.E is 3/2RT.

Therefore:-

According to the question,

➨ K.E = 3/2 R(T+50)-3/2RT

➨ K.E = 3/2R(T - T+50) J

➨ K.E = 3/2× 8.314×50 J

➨ K.E = 623.55 J

Answer 2

★Answer:–

$\bf \: By \: kinetic \: theory :$

Energy of one mole of gas is given by

KE=3/2KT

SO,

∆KE=3/2K∆T

Thus,

∆KE=3/2×8.314×50

∆KE=623.53