**Question:**How many kilocalories (kcal) are required to change 1 kg of 0°C ice to 0°C water?**Answer Box:**[Empty text box for the answer] ## Understanding Heat and Phase Changes### Heat and Temperature ChangeThe quantity of heat \( Q \) that changes the temperature \( \Delta T \) of a mass \( m \) of a substance is given by the formula:\[ Q = cm \Delta T \]where \( c \) is the specific heat capacity of the substance. For water:\[ c = 1 \, \text{cal/g°C} = 4.2 \, \text{J/g°C} \]This formula applies only if the substance is not changing phase.### Heat and Phase TransitionsDuring phase transitions, the heat \( Q \) absorbed by a substance is used for changing its phase (e.g., melting or vaporizing) and not for changing its temperature. During this time, the temperature of the substance will not change, as illustrated in the figure below.The quantity of heat \( Q \) that changes the phase of a mass \( m \) is given by:\[ Q = mL \]where \( L \) is the latent heat of fusion or vaporization of the substance. For water:- Heat of fusion \( L_{\text{fusion}} \) = 80 cal/g = 335 J/g- Heat of vaporization \( L_{\text{vaporization}} \) = 540 cal/g = 2260 J### Explanation of the GraphThe graph illustrates the temperature change of a substance against the heat added. Key features include:- **Ice Heating (from -50°C to 0°C):** Temperature increases from -50°C to 0°C using 100 cal (419 J) without phase change.- **Melting (0°C):** Latent heat of fusion is absorbed (80 cal [335 J]) with no temperature change until it becomes water.- **Water Heating (0°C to 100°C):** Temperature rises with additional heat.- **Vaporization (100°C):** Latent heat of vaporization is absorbed (540 cal [2260 J]) with no temperature change until it becomes steam.- **Steam Heating (above 100°C):** Temperature increases with more heat.This graph provides a visual understanding of how heat energy affects phase changes and temperature in a substance like water.

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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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