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Hwk5A

# Hwk5A - (d Suppose the heaters have 25 W of power and are...

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PHYS 153 Homework 5A Problem 1 0 . 020 mol of diatomic gas, with initial temperature 20 C, are compressed from 1500 cm 3 to 500 cm 3 in a process in which pV 2 = constant. (a) What is the final temperature (in C)? (b) How much heat is added during this process? (c) draw the pV diagram, include proper scales on both axes. Problem 2 A gas cylinder holds 0 . 10 mol of O 2 at 150 C and a pressure of 3 . 0 atm. The gas ex- pands adiabatically until the pressure is halved. What are the final (a) pressure and (b) temperature? Problem 3 Two 800 cm 3 containers hold identical amounts of a monatomic gas at 20 C. Container A is rigid. Container B has a 100 cm 2 piston with a mass of 10 kg that can slide up and down vertically without friction. Both containers are placed on identical heaters and heated for equal amounts of time. (a) Will the final temperature of the gas in A be greater than, less than, or equal to the final temperature of the gas in B? Explain. (b) Show both processes on a single pV diagram. (c) What are the initial pressures in containers A and B?

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Unformatted text preview: (d) Suppose the heaters have 25 W of power and are turned on for 15 s. What is the ﬁnal volume of container B? Problem 4 A monatomic gas follows the process 1-→ 2-→ 3 shown in the ﬁgure below. How much heat is needed for (a) process 1-→ 2 and (b) process 2-→ 3? 1 - 1 Problem 5 A 6 . 0-cm-diameter cylinder of nitrogen gas has a 4 . 0-cm-thick movable copper piston. The cylinder is oriented vertically, as shown in the ﬁgure below, and the air above the piston is evacuated. When the gas temperature is 20 ◦ C, the piston ﬂoats 20 cm above the bottom of the cylinder. (a) What is the gas pressure? (b) How many gas molecules are in the cylinder? Then 2 . 0 J of heat energy are transferred to the gas. (c) What is the new equilibrium temperature of the gas? (d) What is the ﬁnal height of the piston? (e) How much work is done on the gas as the piston rises? 1 - 2...
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