Question

If the temperature of $1mole$ of a gas is increased by ${50}^{\circ }C$ the change in kinetic energy of the system will be:

• A. $62.32J$
• B. $6.235J$
• C. $623.5J$
• D. $6235.0J$

Answer 1

The correct option is C $623.5J$

By Kinetic theory, $Energy=\frac{3}{2}KT$ $△T=50K$

$△E=\frac{3}{2}K\left(△T\right)$

For $1$ mole of gas, $△E=\frac{3}{2}(1.38\times {10}^{-23})\times 50(6.023\times {10}^{23})$

Change in Kinetic energy $=623.5$ $Joules.$