An incompressible fluid (? = constant) is contained in an insulated cylinder fitted with a frictionless piston. Can energy as work be transferred to the fluid? What is the change in internal energy of the fluid when the pressure is increased from 
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If there is no change in volume of the fluid, no work can be done. Work is dW = ?PdV. As long as V doesn't change, it doesn't matter what P does. If the work is zero and (since the piston is insulated) the heat is also zero, the change in internal energy of the fluid is also zero. The internal energy of an incompressible fluid is independent of pressure.
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