A. Compute the work done on the system in Figure c from V = 1.00 m 3 to V = 3 m

Question

A. Compute the work done on the system in Figure c from V = 1.00 m3 to V = 3 m3.
W =? J

B. Compute the work done on the system in Figure d from V = 1.50 m3 to V = 1 m3.
W =?J

EXAMPLE 12.2Work and PV Diagrams GOAL Calculate work from a PV diagram P (10 Pa) P(10 Pa) PROBLEM Find the numeric value of the work done on the gas in (a) Figure a, and (b) Figure b 3.00 2.00 1.00 3.00 2.00 1.00 STRATEGY The regions in question are composed of rectangles and triangles. Use basic geometric formulas to find the area underneath each curve. Check the direction of the arrow to determine signs Al 1.00 2.00 3.00 1.00 2.00 8.00(m) P(10 Pa) P(10 Pa) 3.00 2.00 1.00 3.00 2.00 1.00 1.00 9.00 8.00 V(m3) 1.00 2.00 3.00V(m )

Explanation / Answer

A)

Work done for graph C;

W = Area of rectangle + area of triangle

=> W = 1*(3-1) + 1/2 (3-1)(1)

=> W = 2 + 1 = 3 J

B)

Work done for graph D;

W = Area of rectangle + area of rectangle

=> W = 1*(3-1) + (3-2)(3-1)

=> W = 4J

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