This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ME320 Thermodynamics Homework set #6 Due: Wednesday 10/15/03 at the start of class 1. Consider a fixed mass of an ideal gas at a given temperature T 1 and pressure P 1 that is expanded quasistatically from a volume V 1 to a volume V 2 . Is the work done greater if the expansion occurs under isobaric or isothermal conditions? Solution: For the isobaric expansion, the work done is W isobaric = P 1 ( V 2 V 1 ) . Taking into account that the gas is ideal, the work done for the isother mal expansion is W isothermal = mRT 1 ln parenleftbigg V 2 V 1 parenrightbigg = P 1 V 1 ln parenleftbigg V 2 V 1 parenrightbigg . Since, for V 2 > V 1 , V 2 V 1 > V 1 ln parenleftbigg V 2 V 1 parenrightbigg it therefore follows that W isobaric > W isothermal . Alternatively, the foregoing result can be seen by noting that, for the isothermal process, P 2 = mRT 1 V 2 < mRT 1 V 1 = P 1 , and considering the area under the process curve....
View
Full
Document
This note was uploaded on 04/11/2008 for the course MASE 320 taught by Professor Shen during the Spring '08 term at Washington University in St. Louis.
 Spring '08
 Shen

Click to edit the document details