Chapter 5, Problem 80GQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# You take a diet cola from the refrigerator and pour 240 mL of it into a glass. The temperature of the beverage is 10.5 °C. You then add one ice cube (45 g) at 0 °C. Which of the following describes the system when thermal equilibrium is reached?(a) The temperature is 0 °C, and some ice remains.(b) The temperature is 0 ° C, and no ice remains.(c) The temperature is higher than 0 °C, and no ice remains.Determine the final temperature and the amount of ice remaining, if any.

Interpretation Introduction

Interpretation:

The final temperature and amount of ice remaining has to be calculated.

Concept Introduction:

Heat energy required to raise the temperature of 1g of substance by 1k.Energy gained or lost can be calculated using the below equation.

q=c×m×ΔT

Where, q= energy gained or lost for a given mass of substance (m), C =specific heat capacity, ΔT= change in temperature.

Explanation

a) Cola and ice â€“system

b) Cola and solution of ice â€“system

c) Cola â€“system

Assume the sum of two energy quantities are zero.

Use the above equation to find out the sum of energy quantities.

Â Â Â Â Â Â Â Â Â Â Â Â Â Â  [CcolaÃ—Mcola(Tfinal-Tinitial)+CiceÃ—Mice(Tfinal-Tinitial)]=0

Substitute for the two energy quantities

4.2JK/LÃ—240g(273K-283

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