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The work done to compress a gas is 83.0 J. As a result, 27.0 J of heat is given off to the surroundings. Calculate the change in energy of the gas.

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dsdrajlin

Answer:

ΔU° = 56.0 J

Explanation:

Step 1: Given data

  • Work done to compress the gas (w): 83.0 J (When work is done on the gas, w is positive).
  • Heat given off to the surroundings (q): -27.0 J (When heat is released to the surroundings, q is negative)

Step 2: Calculate the change in the internal energy of the gas (ΔU°)

The internal energy of a gas is the energy contained within it. We can calculate it using the following expression.

ΔU° = q + w

ΔU° = -27.0 J + 83.0 J

ΔU° = 56.0 J

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