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The ideal gas law is a good approximation in most cases, but some applications may call...

The ideal gas law is a good approximation in most cases, but some applications may call for a more precise model of the relationship between the pressure, volume, and temperature of a gas. For a certain amount of a particular non-ideal gas, over a certain temperature range, this relationship is given by the equation PV = (−5.59 ✕ 10−3 J/K2)T2 + (14.7 J/K)T. The temperature of this sample of gas is decreased from 57.0°C to 47.0°C. Determine the work done at constant pressure on the gas during this temperature change.

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