A sample of an ideal gas is taken through the cyclic process abca shown in the f

Question

A sample of an ideal gas is taken through the cyclic process abca shown in the figure. The scale of the vertical axis is set by pb = 7.93 kPa and pac = 5.71 kPa. At point a, T = 183 K. (a) How many moles of gas are in the
sample? What are (b) the temperature of the gas at point b, (c) the temperature of the gas at point c, and (d) the net energy added to the gas as heat during the cycle?

A sample of an ideal gas is taken through the cyclic process abca shown in the figure. The scale of the vertical axis is set by p_b = 7.93 kPa and p_ac = 5.71 kPa. At point a, T = 183 K. (a) How many moles of gas are in the sample? What are (b) the temperature of the gas at point b, (c) the temperature of the gas at point c, and (d) the net energy added to the gas as heat during the cycle? (a) Number Units (b) Number Units (c) Number Units (d) Number Units

Explanation / Answer

a)

At point a :

T = 183 K

P = 5.71 x 103 Pa

V = 1.19 m3

n = number of moles

using the equation

PV = n RT

(5.71 x 103) (1.19) = n (8.314) (183)

n = 4.5

b)

at b :

P = 7.93 x 103 Pa

V = 4.51 m3

n = 4.5

using the equation

PV = n RT

(7.93 x 103 ) (4.51) = (4.5) (8.314) T

T = 956 K

c)

at c :

P = 5.71 x 103 Pa

V = 4.51 m3

n = 4.5

using the equation

PV = n RT

(5.71 x 103 ) (4.51) = (4.5) (8.314) T

T = 688.32 K

d)

Heat added = work done = area of triangle = (0.5) (bc) (ac) = (0.5) (7.93 - 5.71) (103) (4.51 - 1.19) = 3685.2 J

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.