9. (10 pts) A sample of an ideal gas is taken through the cyclic process abca as
ID: 1420007 • Letter: 9
Question
9. (10 pts) A sample of an ideal gas is taken through the cyclic process abca as shown in the figure below. The scale of the 3 pb vertical axis is set by pb -7.5 kPa and p 2.5 kPa. At point a, T t 200 K. (a) How many moles of gas are in the sample? B) 1.0 mol C) 1.5 mol Puc Blank 20: A) 0.5 mol D) 2.0 mol E) 2.5 mol 1.0 8.0 (b) What is the temperature of the gas at point b? Volume (m Blank 21: 0.5 x 103 K B) 1.8 x 10 K C) 3.2 x 103 K D) 5.9 x 103 K E) 8.3 x 103 K (c) What is the temperature of the gas at point c? Blank 22: A) 1.0 x 102 K B) 2.5 x 102 K 4.0 x 102 K D) 5.0 x 102 K E) 6.0 x 102 K (d) What is the net energy added to the gas as heat during the cycle? D) 7.0 x 103 J Blank 23: A) 1.0 x 103 J B 3.0 x 103 J CO 5.0 x 103 J E) 9.0 x 103 JExplanation / Answer
a) Using ideal gas quation,
n = PV/(RT)
= 2500*1/(8.3*200)
= 1.5 mol option C
b) T = PV/(nR)
from a to b, volume becomes thrice and pressure also becomes thrice. So Temperature becomes 3*3 = 9 times
T =9*200 =1800 K,
option B
C) Going from b to c, volume is same but pressure becomes one-third, So temperatre also becomes one third
T = 1800/3 =600 K
option E
d) work done during the cycle = area of triangle
= 0.5*(3-1)*(7500-2500) J
= 5000 J
option C
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