The y-axis on the graph represents the substance\'s temperature, in C, while the
ID: 1260846 • Letter: T
Question
The y-axis on the graph represents the substance's temperature, in C, while the x-axis represents the amount of time that heat in joules, has been added to the substance. The coordinates of the points will be given as needed in the question statements below the diagram.
9. If heat is being added at the rate of 108 joules each second, then how much total energy is absorbed by the 219 grams of substance during the 5 minutes diagrammed between points A and F?
10.If the coordinates of point A are (0, -10) and the coordinates of point B are (21, 10), then what is the specific heat of the solid phase of the substance being graphed?
11.What is the heat of fusion for the substance graphed if the coordinates of point C are (39, 10).
12.If the coordinates of point C are (39, 10) and the coordinates of point D are (139, 49), then what is the specific heat of the liquid phase of the substance being graphed?
13.What is the heat of vaporization for the substance graphed if the coordinates of point D are (139, 49) and the coordinates of point E are (268, 49).
The y-axis on the graph represents the substance's temperature, in C, while the x-axis represents the amount of time that heat in joules, has been added to the substance. The coordinates of the points will be given as needed in the question statements below the diagram. 9. If heat is being added at the rate of 108 joules each second, then how much total energy is absorbed by the 219 grams of substance during the 5 minutes diagrammed between points A and F? 10.If the coordinates of point A are (0, -10) and the coordinates of point B are (21, 10), then what is the specific heat of the solid phase of the substance being graphed? 11.What is the heat of fusion for the substance graphed if the coordinates of point C are (39, 10). 12.If the coordinates of point C are (39, 10) and the coordinates of point D are (139, 49), then what is the specific heat of the liquid phase of the substance being graphed? 13.What is the heat of vaporization for the substance graphed if the coordinates of point D are (139, 49) and the coordinates of point E are (268, 49). 14.If the coordinates of point E are (268, 49) and the coordinates of point F are (300, 104), then what is the specific heat of the vapor phase of the substance being graphed?Explanation / Answer
9. total time = t = 5 minutes = 5 x 60 sec = 300 sec
rate of addition of heat = 108 J/s
So total heat = rate x total time = 108 J/s * 300 s = 32400 J
10. time between A to B = 21 - 0 = 21 sec
heat added in 21 sec = rate * time = 108 J/s * 21 sec = 2268 J
change in temperature = 10 - (-10) = 20 C
using the formula :
Q = m c deltaT c = specific heat
2268 J = (0.219 kg) c (20C)
c = 517.8 J/kgC
11. heat added from B to C
time between B to C = 39 - 21 = 18 sec
Added heat between B to C = rate * time = 108 J/s * 18 = 1944 J
So heat of fusion = 1944 J
12 . C to D phase ::
time from C to D = 139 sec - 39 sec = 100 sec
Change in temperature from C to D = 49 - 10 = 39 C
Heat added in 100 sec = rate * time = 108 J/s * 100 s = 10800 J
using the formula
Q = m c deltaT c = specific heat
10800 J = (0.219 kg) c (39C)
c = 1264.5 J/kgC
13. heat added from D to E
time between D to E = 268 - 139 = 129 sec
Added heat between B to C = rate * time = 108 J/s * 129 = 13932 J
So heat of vapourization = 13932 J
14 E to F phase ::
time from E to F= 300 sec - 268 sec = = 32 sec
Change in temperature from C to D = 104 - 49 = 55 C
Heat added in 32 sec = rate * time = 108 J/s * 32 s = 3456 J
using the formula
Q = m c deltaT c = specific heat
3456 J = (0.219 kg) c (55C)
c = 286.9 J/kgC
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