Work done by material if temperature changes?

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SUMMARY

The work done by a material when its temperature changes from 264 K to 310 K at constant pressure can be calculated using the equation p = A T/V - B T²/V, where A = 358 N·m/K and B = 0.217 N·m/K². To find the work, first, determine the volume at both temperatures using the pressure equation. Then, apply the formula for work done, W = p ΔV, where ΔV is the change in volume. This approach provides a clear method to solve the problem while adhering to the forum's requirement of showing work.

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Pressure p, volume V, and temperature T for a certain material are related by

p= A T/V - B T^2/V

where A and B are constants with values 358 N·m/K and 0.217 N·m/K2. Find the work done by the material if the temperature changes from 264 K to 310 K while the pressure remains constant.

Please provide a solution rather than just an answer. I really appreciate any help :)
 
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