For each problem, show all work for full credit. Use at least three significant
ID: 776401 • Letter: F
Question
For each problem, show all work for full credit. Use at least three significant figures in your final answer. Box or circle your final answer. Watch your units! essure of 1 atm (1.01 x 10 Pa) and a volume of 0.07 m2. Determine: a. The initial temperature of the cylinder. b. f the cylinder is compressed to a final volume of 0.02 m2 while a constant temperature is maintained calculate the work done. Is this work on or by the gas? c. Calculate the heat flow (clearly show work/reasoningl). Is the heat flow into or out of the gas? d. Suppose an initially identical cylinder (3 moles of an ideal, monoatomic gas initially at 1.01 x 10 Pa and 0.07 m2) was instead compressed adiabatically to a final volume of 0.02 m2. What would be the fina pressure? e. For this adiabatic compression, calculate the work. Is this work on or by the gas?Explanation / Answer
7. (A) P V = n R T
(1.01 x 10^5) (0.07) = (3)(8.314)(T)
T = 283.5 K ....Ans
(B) W = n R T ln(Vf / Vi)
= (3)(8.314)(283.5) ln[0.02/0.07]
= - 8858 J
(C) Temp is constant so change in internal energy will be zero.
hence Q = W = - 8858 J
heat flow = 8858 J
heat flow out of system.
(D) P V^Y = constant
(1.01 x 10^5)(0.07)^(5/3) = (P) (0.02)^(5/3)
P = 8.15 x 10^5 Pa
(E) W = P V^Y [ Vf^(1-Y) - Vi^(1 - Y)] / (1 - Y)
= (1.01 x 10^5)(0.07)^(5/3) [ (0.02)^(-2/3) - (0.07)^(-2/3)] / (-2/3)
= - 13842 J
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