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Introductory Physics Homework Help
Heat of Evaporation: Melting Ice to Boil Nitrogen
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[QUOTE="HaoPhysics, post: 5772656, member: 622351"] [h2]Homework Statement [/h2] A 0.035 kg ice cube [B]at its melting point[/B] is dropped into an insulated container of liquid nitrogen. How much nitrogen [B]evaporates[/B] if it is at its boiling point of -196 C? Nitrogen has heat of vaporization of 200000 J/kg Ice's specific heat is 2100 J/kg*C [h2]Homework Equations[/h2] Assuming that [I]all of the ice cube's [/I]heat energy is used to heat the nitrogen. Q = m c T = (0.035)(2100)(0- -196) = 14406 J Latent Heat for Nitrogen (H) H = m*L = m*200000 [h2]The Attempt at a Solution[/h2] Since Q = H 14406 = 200000*m m = 0.072 kg This is the correct answer. But what I do not understand is: How do we know for sure that the ice cube [I]will[/I] reach a temperature of -196 C? This problem feels incomplete. What if the container of nitrogen had 10^1000000000 kg of nitrogen? What if the nitrogen was at 1 K? Clearly, in some cases, that ice cube will not be able to bring the nitrogen to boil. This is not factored into the solution. [/QUOTE]
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Heat of Evaporation: Melting Ice to Boil Nitrogen
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