1) Compute the following values (in Joules) of w, q, , , AS, , and AG for 2.00 m
ID: 1030012 • Letter: 1
Question
1) Compute the following values (in Joules) of w, q, , , AS, , and AG for 2.00 mole of an ideal gas that undergoes a reversible isothermal (300K) expansion from P,- 0.500 atm. 5.00 atm to Pt 2) Comput te the following values (in Joules) of w, q, , , and as when 2.00 mol of an ideal gas with d-3R undergoes a reversible adiabatic expansion from Pi 5.00 atm to P-0.500 atm with an initial temperature of 300K. Can you compute and @for this gas? Explain your answer. 3) Determine a generic expression to determine the following: OT b) (o"lor), c) Bonus-/av), 4) Given the equations of state aP PV (RT obtain expressions for a) (E/av), b) (OilaP) v) ap For c and d, determine a formula for AS 5) Redo #1 for one of the equations of state in #4. Leave your answers symbolic in terms of a, B, and other "normal" gas variables.Explanation / Answer
1.
Temperature, T = 300 K
R = 8.314 J/mol-K
P2 = 0.5 atm
P1 = 5 atm
W = - R T ln(P2/P1)
= - 8.314 * 300 * ln(0.5/5)
W = 5743.1 J
For an ideal gas, in an isothermal process E = 0
Q = W + E
Q = W
Q = 5743.1 J
H = E + PV
For an ideal gas, in an isothermal process H = 0
S = Q / T
= 5743.1 J / 300 K
S = 19.14 J/K
A = E – TS
= -T S (at constant temperature)
= - 300 * 19.14 J/K
A = -5743.1 J
G = H – TS
= -T S (at constant temperature)
= - 300 * 19.14 J/K
G = -5743.1 J
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