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A cylinder contains $0.03\; m^3$ of Argon gas at a temperature of $25^\circ C$ and a pressure of $1.2\; MPa$. Find the internal energy of the gas.

$\begin{array}{1 1} 54\;kj \\ 108\;kj \\ 90\;kj \\ 180\;kj \end{array}$

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Answer: 54 kJ
Noble gases are monoatomic.
For monoatomic gases, $pV = \large\frac{2}{3}$$ \text{Internal Energy}$
$\Rightarrow$ Internal Energy $U =\large\frac{3}{2}$$pV =\large\frac{3}{2}$$ \times 1.2 \times 10^6 \times 0.03 = 54\;kJ$
answered Jul 29, 2014 by balaji.thirumalai

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