A mass of (8 mathrm{~kg}) gas expands within a flexible container according to the law, (p V^{1.5}=)

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A mass of \(8 \mathrm{~kg}\) gas expands within a flexible container according to the law, \(p V^{1.5}=\) const. The initial pressure is \(1 \mathrm{MPa}\) and initial volume is \(1 \mathrm{~m}^{3}\). The final pressure is \(5 \mathrm{kPa}\). If specific internal energy of the gas decreases by \(40 \mathrm{~kJ} / \mathrm{kg}\), find the heat transfer.

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