The fi gure shows three identical chambers containing a

Chapter , Problem 66

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The fi gure shows three identical chambers containing a piston and a spring whose spring constant is k 5 5.8 3 104 N/m. The chamber in part a is completely evacuated, and the piston just touches its left end. In this position, the spring is unstrained. In part b of the drawing, 0.75 mol of ideal gas 1 is introduced into the space between the left end of the chamber and the piston, and the spring compresses by x1 5 15 cm. In part c, 0.75 mol of ideal gas 2 is introduced into the space between the left end of the chamber and the piston, and the spring compresses by x2 5 24 cm. Concepts: (i) Which gas exerts a greater force on the piston? (ii) How is the force required to compress a spring related to the displacement of the spring from the unstrained position? (iii) Which gas exerts the greater pressure on the piston? (iv) Which gas has the greater temperature? Calculations: Find the temperature of each gas.