Question

Work and Heat in PV Diagram Example 13: First law in isobaric and isovolumetric processes. An ideal gas is slowly compressed at a constant pressure of 2.0 atm from 10.0 L to 2.0 L. (In this process, some heat flows out of the gas and the temperature drops.) Heat is then added to the gas, holding the volume constant, and the pressure and temperature are allowed to rise (line DA) until the temperature reaches its original value (TA = TB). Calculate (a) the total work done by the gas in the process BDA, and (b) the total heat flow into the gas.

          Work and Heat in PV Diagram
Example 13: First law in isobaric and isovolumetric processes.
An ideal gas is slowly compressed at a constant pressure of 2.0 atm from 10.0 L to 2.0 L. (In this process, some heat flows out of the gas and the temperature drops.) Heat is then added to the gas, holding the volume constant, and the pressure and temperature are allowed to rise (line DA) until the temperature reaches its original value (TA = TB). Calculate (a) the total work done by the gas in the process BDA, and (b) the total heat flow into the gas.

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Work and Heat in PV Diagram
Example 13: First law in isobaric and isovolumetric processes.
An ideal gas is slowly compressed at a constant pressure of 2.0 atm from 10.0 L to 2.0 L. (In this process, some heat flows out of the gas and the temperature drops.) Heat is then added to the gas, holding the volume constant, and the pressure and temperature are allowed to rise (line DA) until the temperature reaches its original value (TA = TB). Calculate (a) the total work done by the gas in the process BDA, and (b) the total heat flow into the gas.

Added by Marina M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Maitreya E

06/01/2022

Step 1

Given: Pressure (P) = 2.0 atm Initial volume (V1) = 10.0 L Final volume (V2) = 2.0 L Work done in the isobaric process (W1) = P * (V2 - V1) W1 = 2.0 atm * (2.0 L - 10.0 L) W1 = 2.0 atm * (-8.0 L) W1 = -16 atm L Work done in the isovolumetric process (W2) = 0 J Show more…

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Work and Heat in PV Diagram Example 13: First law in isobaric and isovolumetric processes. An ideal gas is slowly compressed at a constant pressure of 2.0 atm from 10.0 L to 2.0 L. (In this process, some heat flows out of the gas and the temperature drops.) Heat is then added to the gas, holding the volume constant, and the pressure and temperature are allowed to rise (line DA) until the temperature reaches its original value (TA = TB). Calculate (a) the total work done by the gas in the process BDA, and (b) the total heat flow into the gas.

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