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15-5Q

Expert-verifiedFound in: Page 412

Book edition
7th

Author(s)
Douglas C. Giancoli

Pages
978 pages

ISBN
978-0321625922

**An ideal monatomic gas expands slowly to twice its volume (1) isothermally; (2) adiabatically; (3) isobarically. Plot each on a PV diagram. In which process \(\Delta U\) is the greatest, and in which is \(\Delta U\) the least? In which is W the greatest and the least? In which is Q the greatest and the least?**

The change in internal energy is the greatest is for the isobaric process and the least for the adiabatic process.

The work done is the greatest in the isobaric process and the least for the adiabatic process.

*Q* is the greatest for the isobaric process and the least for the adiabatic process.

By the first law of thermodynamics, \(\Delta U = Q - W\).

**The work is the area under the curve in the P-V diagram.**

** **

For the isothermal process, the temperature change and internal energy change are zero.

The change in the internal energy is the greatest for the isobaric process and the least for the adiabatic process.

The work is the area under the curve in the P-V diagram. Here, the area is more for the isobaric process and less for the adiabatic process.

Hence, in the isobaric process, the work done is the greatest and the least for the adiabatic process.

For the adiabatic process, the change in the heat energy is zero.

Heat energy equals the sum of the work done and the change in the system's internal energy.

The sum is maximum for the isobaric process.

Hence, Q is the greatest for the isobaric process and the least for the adiabatic process.

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