Solution Found!
Using Isentropic Processes/EfficienciesAir in a
Chapter 6, Problem 123P(choose chapter or problem)
Air in a piston–cylinder assembly is compressed isentropically from state 1, where \(T_{1}=35^{\circ} \mathrm{C}\), to state 2, where the specific volume is one-tenth of the specific volume at state 1. Applying the ideal gas model with k = 1.4, determine (a) \(T_{2}\), in \({ }^{\circ} \mathrm{C}\) and (b) the work, in kJ/kg.
Questions & Answers
QUESTION:
Air in a piston–cylinder assembly is compressed isentropically from state 1, where \(T_{1}=35^{\circ} \mathrm{C}\), to state 2, where the specific volume is one-tenth of the specific volume at state 1. Applying the ideal gas model with k = 1.4, determine (a) \(T_{2}\), in \({ }^{\circ} \mathrm{C}\) and (b) the work, in kJ/kg.
ANSWER:Solution 123P:
Step 1 of 3:
Here we need to find and the work.
The compression from state 1 to state 2 is: isentropic.
.
,
The specific volume of state 2 is one tenth of the specific volume at state 1.
Mathematically,
.