There is a heat engine whose cycle is described in the figure. P (10° N/m²) A 2.6 2.0 В 1.0 0.6 1.0 4.0 V (10° m³) ©theexpertta.com Part (a) What is the net work output of the heat engine that follows path ABDA in the figure, with a straight line from B to D? Give your answer in J. The net work output of a heat engine is the area contained within its path going in a clockwise direction on a P-V diagram. For this problem, the triangular area contained by the straight lines connecting A to B, B to D, and D to A. We can divide this triangle into two right angle triangles created by the horizontal dashed line at 2*10€ N/m². The area of a right angle triangle is A = b.hJ where A is the area in units of J, b is the base of the triangle in N/m², and h is the height of the triangle in m-3. The net work output is therefore the sum of the two triangular areas, W= A1 + Ag= 아어시 + bzh2) = (2.6 – 2) · 10° N/m² · (4 – 1) - 10-3 m³ + (2 – 1) · 10° N/m² - (4 – 1) · 10-3 W = 2.4 · 103 J

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There is a heat engine whose cycle is described in the figure.
P
(10° N/m?)
A
2.6
2.0
D
1.0
0.6
1.0
4.0
V (10° m³)
©theexpertta.com
Part (a) What is the net work output of the heat engine that follows path ABDA in the figure, with a straight line from B to D? Give
your answer in J.
The net work output of a heat engine is the area contained within its path going in a clockwise direction on a P-V diagram. For this
problem, the triangular area contained by the straight lines connecting A to B, B to D, and D to A. We can divide this triangle into two right
angle triangles created by the horizontal dashed line at 2*10° N/m². The area of a right angle triangle is
1
A =
-b .hJ
where A is the area in units of J, b is the base of the triangle in N/m2, and h is the height of the triangle in m3. The net work output is
therefore the sum of the two triangular areas,
W = A1 + A2 =(b,h1
+ byh2) = -3 m³ + (2 – 1) · 10° N/m² · (4 – 1) · 10-3 m³)
((2.6 – 2) - 10° N/m² - (4 – 1) - 10
W = 2.4 · 10° J
B.
Transcribed Image Text:There is a heat engine whose cycle is described in the figure. P (10° N/m?) A 2.6 2.0 D 1.0 0.6 1.0 4.0 V (10° m³) ©theexpertta.com Part (a) What is the net work output of the heat engine that follows path ABDA in the figure, with a straight line from B to D? Give your answer in J. The net work output of a heat engine is the area contained within its path going in a clockwise direction on a P-V diagram. For this problem, the triangular area contained by the straight lines connecting A to B, B to D, and D to A. We can divide this triangle into two right angle triangles created by the horizontal dashed line at 2*10° N/m². The area of a right angle triangle is 1 A = -b .hJ where A is the area in units of J, b is the base of the triangle in N/m2, and h is the height of the triangle in m3. The net work output is therefore the sum of the two triangular areas, W = A1 + A2 =(b,h1 + byh2) = -3 m³ + (2 – 1) · 10° N/m² · (4 – 1) · 10-3 m³) ((2.6 – 2) - 10° N/m² - (4 – 1) - 10 W = 2.4 · 10° J B.
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