First, by dividing the an are under the curve right into a rectangle and also a triangle, uncover the area that the rectangle-shaped space. Then find the area that the triangular space. Finally, combine the areas to discover the area under the curve and calculate the job-related done.
You are watching: How much work is done on the gas in the process shown in the figure
FundamentalsGasses have the right to do occupational by either growth or compression against an exterior pressure. This work done is called pressure-volume work. This work-related done is given by the expression,
Thus, the job-related done will certainly be an adverse if the gas is expanding because the change in volume will be positive. Similarly, the work-related done is optimistic if the gas is compressed since the adjust in volume will certainly be negative.The area that a rectangle is given by the equation
Find the area of the rectangular space.The area of a rectangle is,
Explanation:The an are under the graph displayed can be break-up into two shapes, a rectangular an are and a triangular space. The complete area under the graph will provide the work-related done ~ above the graph. As the x axis that the graph is volume and the y axis the the graph is pressure, by recognize the area that the rectangle, we will get the work done.The area the the rectangular part isA = abWhere, a is the size of the rectangle and also b is the breadth of the rectangle.
Find the area that the triangular space.The area of a triangle is,
Explanation:Combining the area of the rectangular room and the triangular space, the work done top top the gas have the right to be found. The area the the triangular space is,As b is volume and h is pressure, the product will be work done and the unit is Joules.
Find the work-related done on the gas.The total work excellent is the area under the offered curve, i beg your pardon is the sum of the area that the rectangular an are and the triangular space.
Explanation:The work done in a graph with push in the y axis and volume in the x axis is the area under the graph. The area under the graph show is the amount of the area of the rectangle and the area that the triangle.
See more: Over And Over Lyrics Over And Over And Over', Riley Clemmons