M. Laidlaw-P111-Spring 2018 An amount Mi of ice at temperature Ti placed in ther

Question

M. Laidlaw-P111-Spring 2018 An amount Mi of ice at temperature Ti placed in thermal contact with a very large object which is maintained at T.. 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 steam is 2000J , and for The latent heat of fusion for the ice to water transitiorn , kg K is 3.3 x 105and the latent heat of vaporization for the water to steam transition is 2.1 × 10 6 J 12. Given that T-_50°, Th 400°, L = 1.2m, A-3 x 10-2m2, and w, what is the rate at which the Mi 3kg of ice warms up? k 800 (assume that the all the ice is at the same temperature) (a) 0.7K (b) 1.4 (c) 2.1K (d) 3.6K (e) 4.3K

Explanation / Answer

b)Rate of transfer of heat Q/t= KA(T2-T1)/L

=800*723*3*10-2/1.2

=1.446 K/s

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