The temperature of 3 . 00mol of an ideal diatomic gas is increased by 40 . 0 ° C without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy

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First, recall the formula of change in internal energy in terms of molar specific heat at constant volume and change in temperature, $∆ U = n{C}_{V}\DeltaT$ , for diatomic gas, ${C}_{V} = \dfrac{f}{2}R = \dfrac{5}{2}R$ , $⇒ ∆ U = n \times \dfrac{5}{2} \times R\DeltaT$

$⇒ \dfrac{\DeltaU}{W} = \dfrac{\dfrac{5}{2}nR\DeltaT}{nR\DeltaT} = \dfrac{5}{2} = \dfrac{25}{10}$

So, $x = 25$

The temperature of 3 . 00mol of an ideal diatomic gas is increased...

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