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  • Calculate the change in internal energy of  of helium gas when its temperature

Calculate the change in internal energy of 3.0 \mathrm{~mol} of helium gas when its temperature is increased by 2.0 \mathrm{~K}.
 

Option: 1

80 \mathrm{~J}


Option: 2

74.8 \mathrm{~J}


Option: 3

64 \mathrm{~J}


Option: 4

80.3 \mathrm{~J}


Answers (1)

best_answer

Helium is a monoatomic gas. Internal energy of n moles of the gas is,

\begin{aligned}U&=\frac{3}{2} n R T \\\Rightarrow \Delta U&=\frac{3}{2} n R(\Delta T)\end{aligned}

Substituting the values,

\begin{aligned}\Delta v&=\frac{3}{2} \times 3 \times 8.31 \times 2.0\\ &=74.8 \mathrm{~J}\end{aligned}

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Anam Khan

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