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Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

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BuyFindarrow_forward

Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
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For each of the following situations a−c. use the following choices i−iii to complete the statement “The final temperature of the water should be”

ol type='a'>

  • Between 50 °C and 90 °C
  • 50°C
  • Between 10 °C and 50 °C
  • A 100.0-g sample of water at 90 °C is added to a 100.0-g sample of water at 10 °C.
  • A 100.0-g sample of water at 90 °C is added to a 500.0-g sample of water at 10 °C.
  • You have a Styrofoam cup with 50.0 g of water at 10 °C. You add a 50.0-g iron ball al 90 °C to the water.
  • Interpretation Introduction

    (a)

    Interpretation:

    For the given situations, the final temperature of the water should be determined from the given choices.

    Concept Introduction:

    Energy exchanged (Q) to change the temperature by T0 C of m gram of sample is given by

    Q = s ×m ×ΔT

    Here, s is specific heat capacity, m is mass of the sample in grams, and ΔT is the change in temperature. It can also be written as

    m1. ΔT1= m2. ΔT2.

    Explanation

    Here ΔT1 = 90-Tf, ΔT2 = 10-Tf are the heat changes for hot and cold water respectively.

    Tf is the final temperature, m1 = 100.0 g, and m2 = 100.0 gare the mass of hot and cold water respectively. Therefore,

    Tf =

    Interpretation Introduction

    (b)

    Interpretation:

    For the given situations, the final temperature of the water should be determined from the given choices.

    Concept Introduction:

    Energy exchanged (Q) to change the temperature by T0 C of m gram of sample is given by

    Q = s ×m ×ΔT

    Here, s is specific heat capacity, m is mass of the sample in grams, and ΔT is the change in temperature. It can also be written as

    m1. ΔT1= m2. ΔT2.

    Interpretation Introduction

    (c)

    Interpretation:

    For the given situations, the final temperature of the water should be determined from the given choices.

    Concept Introduction:

    Energy exchanged (Q) to change the temperature by T0 C of m gram of sample is given by

    Q = s ×m ×ΔT

    Here, s is specific heat capacity, m is mass of the sample in grams, and ΔT is the change in temperature. It can also be written as

    m1. ΔT1= m2. ΔT2.

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