A gas expands from A to B as shown in the graph.Calculate the work (in joules)done by the gas.(1 atm= 1.01 * 10⁵ N/m². ) A)12 B)24 C)1.21 *10⁶ D)2.42 *10⁶ E)3.64 *10⁶

Question

Quizplus · Accepted Answer

The work done by the gas is equal to the area under the curve on the graph. This area can be divided into a rectangle and a triangle. The rectangle has a height of 1.5 atm (the difference in pressure between A and B) and a width of 0.02 m^3 (the difference in volume between A and B). Therefore, the area of the rectangle is 0.03 atm*m^3. The triangle has a base of 0.02 m^3 and a height of 0.5 atm (half the difference in pressure between A and B). Therefore, the area of the triangle is 0.01 atm*m^3. Adding the areas of the rectangle and triangle gives a total area of 0.04 atm*m^3. Converting to joules using the given conversion factor, the work done by the gas is 2.42 J. Therefore, the correct answer is D.

A Gas Expands from a to B as Shown in the Graph.Calculate