An amount M₁ of ice at temperature T; placed in thermal contact with a very large object which is maintained at Th. The thermal contact is via a rod L long with a cross sectional area A and a thermal conductivity k. The ice, the large object, and the rod, are otherwise thermally insulated. The specific heat for ice is 2100; for water is 4200- J kg K J kg K₂ and for steam is 2000- J kg K. The latent heat of fusion for the ice to water transition is 3.3 × 105% and the latent heat of vaporization for the water to steam transition is 2.1 × 106 J kg 12. Given that Ti = -50°, Th = 400°, L = : 1.2m, A = 3 × 10-²m², and k = 800 W what is the rate at which the Mi = 3kg of ice warms up? (assume that the all the ice is at the same temperature) m K =
An amount M₁ of ice at temperature T; placed in thermal contact with a very large object which is maintained at Th. The thermal contact is via a rod L long with a cross sectional area A and a thermal conductivity k. The ice, the large object, and the rod, are otherwise thermally insulated. The specific heat for ice is 2100; for water is 4200- J kg K J kg K₂ and for steam is 2000- J kg K. The latent heat of fusion for the ice to water transition is 3.3 × 105% and the latent heat of vaporization for the water to steam transition is 2.1 × 106 J kg 12. Given that Ti = -50°, Th = 400°, L = : 1.2m, A = 3 × 10-²m², and k = 800 W what is the rate at which the Mi = 3kg of ice warms up? (assume that the all the ice is at the same temperature) m K =
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Transcribed Image Text:An amount M; of ice at temperature Ti placed in thermal contact with
a very large object which is maintained at Th. The thermal contact is via a
rod L long with a cross sectional area A and a thermal conductivity k. The
ice, the large object, and the rod, are otherwise thermally insulated.
The specific heat for ice is 2100, for water is 4200;
J
steam is 2000-
J
J
kg K.
is 3.3 × 105,
and the latent heat of vaporization for the water to steam
kg
transition is 2.1 × 106 J
kg
(a) 0.7K
(b) ***1.4K
12. Given that Ti
: -50°, Th
1.2m, A
W
k = 800- what is the rate at which the M; = 3kg of ice warms up?
(assume that the all the ice is at the same temperature)
m K'
(c) 2.1 K
S
J
kg K'
and for
kg K₂
The latent heat of fusion for the ice to water transition
(d) 3.6K
(e) 4.3k
=
=
400°, L:
=
=
3 × 10-2m², and
13. Suppose that L were halved (so the new length is 0.5L) and the area
were increased by 50% (so the new area is 1.5A). What would the new
rate of ice warming be?
(a) 0.33 times the answer to the last question.
(b) 0.75 times the answer to the last question.
(c) 1.00 times the answer to the last question.
(d) 1.33 times the answer to the last question.
(e) ***3.00 times the answer to the last question.
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