Answered: Two 20.0 g ice cubes at −10.0 ∘C are…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Two 20.0 g ice cubes at −10.0 ∘C are placed into 285 g of water at 25.0 ∘C. Assuming no energy is transferred to or from the surroundings, calculate the final temperature, ?f, of the water after all the ice melts.

Expert Solution

Step 1

Given that,

Mass of two ice cubes, m_i= 2×20 g = 40 g

Initial temperature of ice, T_{i, i}= -10°C

Heat capacity of ice, c_i= 2.09 J/g.°C

Final temperature, T_f= to be calculated

Change in temperature of ice, ∆T_i = T_f - T_{i, i}

= T_f - (-10°C) = T_f + 10°C

Mass of water, m_w = 285.0 g

Initial temperature of water, T_{i, w}= 25°C

Heat capacity of water, c_w= 4.184 J/g.°C

Change in temperature of water ∆T_w = T_f - T_{i, w}= T_f - 25°C

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