The gas inside a cylinder expands against a constant external pressure of 0.980 atm from a volume of 4.51 L to a volume of 14.70 L. In doing so, it turns a paddle immersed in 0.835 L of liquid benzene (C6H6). Calculate the temperature rise of the liquid, assuming no loss of heat to the surroundings or frictional losses in the mechanism. Take the density of liquid C6H6 to be 0.879 g cm-3 and its specific heat to be 1.74 J °C-1 g-1.
Hints: The expansion work done by the gas is given by: w = -PexternalV and 1 L atm = 101.325 J.
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