How many kilo calories (kcal) are required to change 1 kg of 0°C ice to 0°Cwater? The quantity of heat Q that changes the temperature AT of a mass m of asubstance is given by Q= cm AT, where c is the specific heat capacity ofthe substance (c = 1 cal/g°C = 4.2 J/g°C for water). The above only appliesif the substance is not changing phase however.During phase transitions the heat Q absorbed by a substance will go intochanging the phase of the substance (e.g melting or vaporizing) and not intochanging its temperature, thus during phase transitions the temperature ofthe substance will not change (see figure below). The quantity of heat Qthat changes the phase of a mass m is QmL, where L is the latentheat of fusion or vaporization of the substance. For water the heat of fusion80 cal/g = 335 J/g, and the heat of vaporization is Lvaporizationis L fusion540 cal/g = 2260 J100°-VaporizingIceMelting0°-80 cal ; 100 cal :-50°540 cal(335 J) (419 J)(2260 J)HeatTemperature in C°WaterSteam

Total Heat required for phase change from ice to water is given by Q = ml Here, Q = total heat…

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How many kilo calories (kcal) required to change 1 kg of 0°C ice to 0°C are water?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 100P: One easy way to reduce heating (and cooling) costs is to add extra insulation in the attic of a...

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Question

How many kilo calories (kcal) are required to change 1 kg of 0°C ice to 0°C
water?

The quantity of heat Q that changes the temperature AT of a mass m of a
substance is given by Q
= cm AT, where c is the specific heat capacity of
the substance (c = 1 cal/g°C = 4.2 J/g°C for water). The above only applies
if the substance is not changing phase however.
During phase transitions the heat Q absorbed by a substance will go into
changing the phase of the substance (e.g melting or vaporizing) and not into
changing its temperature, thus during phase transitions the temperature of
the substance will not change (see figure below). The quantity of heat Q
that changes the phase of a mass m is Q
mL, where L is the latent
heat of fusion or vaporization of the substance. For water the heat of fusion
80 cal/g = 335 J/g, and the heat of vaporization is Lvaporization
is L fusion
540 cal/g = 2260 J
100°-
Vaporizing
Ice
Melting
0°-
80 cal ; 100 cal :
-50°
540 cal
(335 J) (419 J)
(2260 J)
Heat
Temperature in C°
Water
Steam

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