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.

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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,

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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

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Here, a is the length of the rectangle and also b is the breadth the the rectangle.The area that a triangle is,Here,b is the base length of a triangle and also h is the height of the triangle indigenous the base.

Answer:

Find the area of the rectangular space.The area of a rectangle is,

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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,

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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.

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The work done in widening a gas is negative. In the graph shown, the volume of the gas is increasing. So, the gas is expanding and the work done is negative. Thus,
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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.

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The occupational done against the outside pressure through a gas once it expends or compress is,
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For an broadening gas, the change in volume is positive. So, the occupational done is negative.