could someone please show me how to do this problem? The two objects in the draw
ID: 1664909 • Letter: C
Question
could someone please show me how to do this problem? The two objects in the drawing are made from the same material(emissivity = 0.500) and have a temperature of 363 K. One is acube of edge length r0 = 0.280 m, and the otheris a sphere of radius 1/2 r0. They are placed in a room whose temperature is 435 K. What is themagnitude of the difference between the net power absorbedby the cube and the sphere? The surface area of a sphere is4r2.could someone please show me how to do this problem? The two objects in the drawing are made from the same material(emissivity = 0.500) and have a temperature of 363 K. One is acube of edge length r0 = 0.280 m, and the otheris a sphere of radius 1/2 r0. They are placed in a room whose temperature is 435 K. What is themagnitude of the difference between the net power absorbedby the cube and the sphere? The surface area of a sphere is4r2.
1/2 r0.
Explanation / Answer
the magnitude of the difference between the net powerabsorbed by the cube and the sphere = E - E ' The surface area of a sphere A ' = 4r2.emissivity e = = 0.500 Temperature T = 363 K. One is a cube of edge length r0 = 0.280m Sphere of radius r = 1/2 r0. = 0.14 m E = Power absorbed by cube = eA T^4 where A = 6ro^2 = 0.4704 m ^ 2 = stefan constan t= 5.67 * 10 ^ -8 W m^-2K ^ -4 plug the values we get E = 477.5 W E ' = Power absorbed by sphere = A ' e T^ 4 where A ' = 4r ^ 2 = 0.2463 m ^2 plug the values we get E ' = 250 W Therefore difference = E-E ' = 227.47 W
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