   # An ice cube tray contains enough water at 22.0°C to make 18 ice cubes that each has a mass of 30.0 g. The tray is placed in a freezer that uses CF 2 Cl 2 as a refrigerant. The heat of vaporization of CF 2 Cl 2 is 158 J/g. What mass of CF 2 Cl 2 must be vaporized in the refrigeration cycle to convert all the water at 22.0°C to ice at −5.0°C? The heat capacities for H 2 O( s) and H 2 O( l ) are 2.03 J/g .°C and 4.18 J/g °C, respectively, and the enthalpy of fusion for ice is 6.02 kJ/mol. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 9, Problem 101E
Textbook Problem
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## An ice cube tray contains enough water at 22.0°C to make 18 ice cubes that each has a mass of 30.0 g. The tray is placed in a freezer that uses CF2Cl2 as a refrigerant. The heat of vaporization of CF2Cl2 is 158 J/g. What mass of CF2Cl2 must be vaporized in the refrigeration cycle to convert all the water at 22.0°C to ice at −5.0°C? The heat capacities for H2O(s) and H2O(l) are 2.03 J/g .°C and 4.18 J/g °C, respectively, and the enthalpy of fusion for ice is 6.02 kJ/mol.

Interpretation Introduction

Interpretation:

Mass of CF2Cl2 should vaporized to convert water into ice in the refrigeration cycle to be calculated.

Concept introduction

Mass: Mass is the quantity that mention amount of matter in an object.

SI units of Mass are Kilogram.

Mass = density×volume

### Explanation of Solution

Explanation

Record the given data

Temperature at which ice cube tray contains water = 22°C

Mass of each ice cube                = 30.0g

Heat of vaporisation of CF2Cl2 = 158J/g

Heat capacity of ice cube         = 2.03J/g

Heat capacity of water             = 4.18 J/g

Enthalpy of fusion for ice        = 6.02kJ/mol

Mass of ice cube, heat capacity of ice and water and enthalpy of fusion for ice are recorded as shown.

To calculate mass and molality of  H2O .

Molecular weight of  H2O = 18.02g/mol

Total mass of  H2O = 18cube ×30gcube= 540g

Molality of  H2O = 540g H21mol H2O18.02g

= 30.0 mols H2O

By plugging the value of number of cubes and mass of an ice cube, total mass of an ice cube has calculated and by plugging the value of total mass of an ice cube and molecular mass of water, the molality of water has calculated

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