A 2.50 mole sample of an ideal gas, for which C v , m = 3 R / 2 , is subjected to two successive changes in state: (1) From 25 .0 ° C and 125 × 1 0 3 Pa , the gas is expanded isothermally against a constant pressure of 15 .2 × 1 0 3 Pa to twice the initial volume. (2) At the end of the previous process, the gas is cooled at constant volume from 25 .0 ° C to − 29 .0 ° C . Calculate q, w, Δ U , and Δ H for each of the stages. Also calculate q, w, Δ U , and Δ H for the complete process.
A 2.50 mole sample of an ideal gas, for which C v , m = 3 R / 2 , is subjected to two successive changes in state: (1) From 25 .0 ° C and 125 × 1 0 3 Pa , the gas is expanded isothermally against a constant pressure of 15 .2 × 1 0 3 Pa to twice the initial volume. (2) At the end of the previous process, the gas is cooled at constant volume from 25 .0 ° C to − 29 .0 ° C . Calculate q, w, Δ U , and Δ H for each of the stages. Also calculate q, w, Δ U , and Δ H for the complete process.
Solution Summary: The author defines a reversible process as the process which can be reversed to its original state. In an adiabatic process the heat change is zero therefore the work done will be equal to the change in the internal energy
A 2.50 mole sample of an ideal gas, for which
C
v
,
m
=
3
R
/
2
, is subjected to two successive changes in state: (1) From
25
.0
°
C
and
125
×
1
0
3
Pa
, the gas is expanded isothermally against a constant pressure of
15
.2
×
1
0
3
Pa
to twice the initial volume. (2) At the end of the previous process, the gas is cooled at constant volume from
25
.0
°
C
to
−
29
.0
°
C
. Calculate q, w,
Δ
U
, and
Δ
H
for each of the stages. Also calculate q, w,
Δ
U
, and
Δ
H
for the complete process.
1.4 g of N2 are placed in a cylinder at an initial volume of 3.8 L and allowed to expand isothermally to a final volume of 10.8 liters against a constant external pressure of 0.8 bar.
(A) Treating N2 as a perfect gas, find q, w, ΔU, ΔH, and ΔS for this process.
(B) Now assume that the same process occurs, but that N2 can be assumed to have attractive forces between the molecules. In this case, how would q differ from the answer given in (A)? Specifically, would the value be larger, smaller, or unchanged? Explain your answer in 10 words or less.
Can you please explain part a and b?
<reference>
Ne has a mass of 20.18 amu, N2 has a mass of 28.01 amu, H2 has a mass of 1.01 amu, Ar has a mass of 39.95 amu, and He has a mass of 4.00 amu.
Chapter 2 Solutions
Thermodynamics, Statistical Thermodynamics, & Kinetics
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