Explanation Given: If pressure at point 1 is p 1 , Pressure at point 2, p2 = 5p1 Pressure at point 3, p3 = p1 Temperature at point 1, T1 = 133°C = (133 + 273) K = 406 K Volume at point 1, V1 = 1000 cm3 = 1000 x 10-6 m3 Volume at point 2, V2 = 1000 cm3 = 1000 x 10-6 m3 Temperature at point 2, T2 = T3, the temperature at point 3 Mass of helium gas, m = 120 mg = 120 x 10-3 g Formula used: i) pV = nRT ii) W = -nRTiln(Vf/Vi) iii) W = pΔV iv) ΔE = Q + W v) ΔE = n x Cv x (Tf – Ti) Calculation: 1. Calculating pressure, temperature and volume: Number of moles of helium in the system, n = m/M, where M is the molecular mass of helium (4 g/mol) Therefore, n = (120 x 10-3 g)/(4 g/mol) = 0 .03 mol Using pV = nRT , p1 = nRT1/V1 = (0 .03 mol) (8 .314 J/ mol .K) (406 K)/(1000 x 10-6 m3) = 1 .01 x 105 Pa = 1 atm Therefore, p2 = 5p1 = 5 x 1 atm = 5 atm And p3 = p1 = 1 atm Using pV = nRT again, T2 = p2V2/nR = (5 x 1 .01 x 105 Pa)(1000 x 10-6 m3)/(0 .03 mol)(8 .314 J/mol .K) = 2025 K = (2025 – 273) °C = 1752°C Since, points 2 and 3 lie on an isotherm, T3 = T2 = 1752°C = 2025 K Therefore, V3 = nRT3/p3 = (0 .03 mol) (8 .314 J/mol .K)(2025 K)/(1 .01 x 105 Pa) = 5 x 10-3 m3 = 5000 cm3 In tabulated form: Pressure (atm) Temperature (°C) Volume (cm 3 ) Point 1 1 133 1000 Point 2 5 1752 1000 Point 3 1 1752 5000 2

1st Edition

ISBN: 9781323834824

Author: Knight

Publisher: PEARSON C

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Chapter 19, Problem 62EAP

To determine

a) The pressure, temperature and volume of the gas at each of the three points.

b) Work done on the gas during each of the three segments.

c) Heat energy transferred to or from the gas during each of the three segments.

Expert Solution & Answer

Chapter 19 Solutions

PHYS 214 FOR SCI+ENG W/ MAST PHYS >ICP<

Ch. 19 - Prob. 1CQ Ch. 19 - Do (a) temperature, (b) heat, and (c) thermal...Ch. 19 - Prob. 3CQ Ch. 19 - You need to raise the temperature of a gas by...Ch. 19 - Prob. 5CQ Ch. 19 - Prob. 6CQ Ch. 19 - FIGURE Q19.7 shows two different processes taking...Ch. 19 - FIGURE Q19.8 shows two different processes taking...Ch. 19 - The gas cylinder in FIGURE Q19.9 is a rigid...Ch. 19 - The gas cylinder in FIGURE Q19.10 is well...

Ch. 19 - The gas cylinder in FIGURE Q19.11 is well...Ch. 19 - How much work is done on the gas in the process...Ch. 19 - Prob. 2EAP Ch. 19 - Prob. 3EAP Ch. 19 - A 2000 cm3 container holds 0.10 mol of helium gas...Ch. 19 - Prob. 5EAP Ch. 19 - Prob. 6EAP Ch. 19 - Draw a first-law bar chart (see Figure 19.12) for...Ch. 19 - Draw a first-law bar chart (see Figure 19.12) for...Ch. 19 - 9. Draw a first-law bar chart (see Figure 19.12)...Ch. 19 - Prob. 10EAP Ch. 19 - J of work are done on a system in a process that...Ch. 19 - How much heat energy must be added to a...Ch. 19 - Prob. 13EAP Ch. 19 - Prob. 14EAP Ch. 19 - Prob. 15EAP Ch. 19 - Prob. 16EAP Ch. 19 - One way you keep from overheating is by...Ch. 19 - Prob. 18EAP Ch. 19 - Two cars collide head-on while each is traveling...Ch. 19 - An experiment measures the temperature of a 500 g...Ch. 19 - 30 g of copper pellets are removed from a 300°C...Ch. 19 - A 750 g aluminum pan is removed from the stove and...Ch. 19 - A 50.0 g thermometer is used to measure the...Ch. 19 - A 500 g metal sphere is heated to 300°C, then...Ch. 19 - A 65 cm3 block of iron is removed from an 800°C...Ch. 19 - Prob. 26EAP Ch. 19 - A container holds 1.0 g of oxygen at a pressure of...Ch. 19 - The volume of a gas is halved during an adiabatic...Ch. 19 - Prob. 29EAP Ch. 19 - Prob. 30EAP Ch. 19 - Prob. 31EAP Ch. 19 - Prob. 32EAP Ch. 19 - Prob. 33EAP Ch. 19 - Prob. 34EAP Ch. 19 - Prob. 35EAP Ch. 19 - What maximum power can be radiated by a...Ch. 19 - Radiation from the head is a major source of heat...Ch. 19 - Prob. 38EAP Ch. 19 - Prob. 39EAP Ch. 19 - Prob. 40EAP Ch. 19 - Prob. 41EAP Ch. 19 - Prob. 42EAP Ch. 19 - Prob. 43EAP Ch. 19 - The specific heat of most solids is nearly...Ch. 19 - Prob. 45EAP Ch. 19 - Prob. 46EAP Ch. 19 - Prob. 47EAP Ch. 19 - Prob. 48EAP Ch. 19 - .0 mol of gas are at 30°C and a pressure of 1.5...Ch. 19 - A 6.0-cm-diameter cylinder of nitrogen gas has a...Ch. 19 - Prob. 51EAP Ch. 19 - An ideal-gas process is described by p = cV 1/2 ,...Ch. 19 - Prob. 53EAP Ch. 19 - Prob. 54EAP Ch. 19 - Prob. 55EAP Ch. 19 - Prob. 56EAP Ch. 19 - Prob. 57EAP Ch. 19 - .10 mol of nitrogen gas follow the two processes...Ch. 19 - Prob. 59EAP Ch. 19 - Prob. 60EAP Ch. 19 - Prob. 61EAP Ch. 19 - Prob. 62EAP Ch. 19 - Prob. 63EAP Ch. 19 - Prob. 64EAP Ch. 19 - Prob. 65EAP Ch. 19 - Prob. 66EAP Ch. 19 - Prob. 67EAP Ch. 19 - Prob. 68EAP Ch. 19 - Prob. 69EAP Ch. 19 - A cylindrical copper rod and an iron rod with...Ch. 19 - Prob. 71EAP Ch. 19 - Prob. 72EAP Ch. 19 - Prob. 73EAP Ch. 19 - Prob. 74EAP Ch. 19 - Prob. 75EAP Ch. 19 - Prob. 76EAP Ch. 19 - Prob. 77EAP Ch. 19 - Prob. 78EAP Ch. 19 - Prob. 79EAP Ch. 19 - Prob. 80EAP Ch. 19 - Prob. 81EAP Ch. 19 - Prob. 82EAP

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