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A collection of 100 non-interacting particles, each with mass 1 g, has an initial 5 J...

A collection of 100 non-interacting particles, each with mass 1 g, has an initial 5 J of internal energy in the form of translational kinetic energy with equal contribution from each particle. When 50 J of heat is added to this collection, it expands to a new volume and some of the added energy goes equally towards increasing the translational kinetic energy of each particle such that each is found to be moving with a speed of 20 m/s. How much of the added heat is converted to work?

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Answer #1

Find the change in internal energy and use first law of thermodynamics to find the heat energy converted to work as shown below

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