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Chapter 3: Q16E (page 641)

During an isothermal compression of an ideal gas, 410 J of heat must be removed from the gas to maintain constant temperature. How much work is done by the gas during the process?

Short Answer

Expert verified

The work done by an ideal gas is-410J .

Step by step solution

01

Identification of the given information

The given data can be listed below as:

  • The heat removed is, Q=-410J. Here the negative sign included due to heat removal from the system.
02

Understanding the work done by the gas

The work done can be obtained by the difference between the system鈥檚 internal energy from the system鈥檚 heat energy. It can be measured in Joules.

03

Calculation of the work done by the ideal gas

According to First law of thermodynamics, the work done is given by:

W=Q-鈭�U

We know that the internal energy depends on the temperature T, which is constant in this case. Therefore, the change in internal energy is 鈭�U=0.

Now, substituting the values ofQ and鈭�U in the above equation, we get:

W=-410J-0J=-410J

Here, the negative which indicates that the work is done by the surrounding on the gas.

Therefore, the work done by the gas is -410J.

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