Living By Chemistry: First Edition Textbook
Living By Chemistry: First Edition Textbook
1st Edition
ISBN: 9781559539418
Author: Angelica Stacy
Publisher: MAC HIGHER
Question
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Chapter U5.6, Problem 9E
Interpretation Introduction

Interpretation:The conservation of energy is to be shown in the two given processes.

Concept introduction: According to law, of conservation of energy, energy is always conserved. Energy cannot be created or destroyed in a reaction.

The formula to calculate heat transfer is,

  H=mcΔT

Where H is heat transfer, m is mass, c is specific heat capacity and ΔT is the change of temperature.

The formula to calculate heat transfer using the mass and heat of fusion is,

  H=mL

Where H is heat transfer and L is the heat of fusion.

Expert Solution & Answer
Check Mark

Answer to Problem 9E

Conservation of energy is shown.

Explanation of Solution

25 g ice melts and then goes to 20°C . The energy required in this process is supplied from the energy releases from the cooling of 100 g water to 20°C . Thus, for energy conservation, we need to find that energy required in process 1 is the same as the energy released from process 2.

PROCESS 1:

Heat of fusion of water (S)=80 cal/g

Mass of sample= 25 g

Heat required to melt can be calculated as,

  Heat'=Mass×Heatoffusion

    =25g×80cal/g

    =2000cal

Specific heat of water (c)= 1cal/g oC

Final temperature= 20°C

  ΔT=20°C

Heat transferred can be calculated as,

  Heat"=mcΔT

     =25g×1g/cal°C×20°C

     =500cal

  Totalheat=Heat'+Heat"

      =2000cal+500cal

      =2500cal

PROCESS 2:

Mass (m)=100g

Change in temperature (ΔT)=4520=25°C

Specific heat = 1 cal/ g°C

Heattransferred=mcΔT

       =100g×1cal/g°C×25°C

       =2500cal

From process (1) and (2), it is clear that energy is conserved.

Conclusion

Energy is always conserved.

Chapter U5 Solutions

Living By Chemistry: First Edition Textbook

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