Ch.6 - Thermochemistry WorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: A swimming pool, 10.0 m by 4.0 m, is filled with water to a depth of 3.0 m at a temperature of 20.2°C. How much energy is required to raise the temperature of the water to 24.6°C?

Solution: A swimming pool, 10.0 m by 4.0 m, is filled with water to a depth of 3.0 m at a temperature of 20.2°C. How much energy is required to raise the temperature of the water to 24.6°C?

Problem

A swimming pool, 10.0 m by 4.0 m, is filled with water to a depth of 3.0 m at a temperature of 20.2°C. How much energy is required to raise the temperature of the water to 24.6°C?

Solution

This problem relates to specific heat capacity. It is the heat required to raise the temperature of 1 g of a substance by 1 oC. Note that the specific heat of water = 4.184 J/g/oC.


The amount of heat required to raise the temperature of a substance is given by the following formula:


<math xmlns="http://www.w3.org/1998/Math/MathML"><menclose mathcolor="#0000FF" notation="box"><mi>q</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>m</mi><mi>c</mi><mo>&#x2206;</mo><mi>T</mi><mo>&#xA0;</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mo>-</mo><mfenced><mn>1</mn></mfenced></menclose><mspace linebreak="newline"></mspace><mi>W</mi><mi>h</mi><mi>e</mi><mi>r</mi><mi>e</mi><mo>,</mo><mspace linebreak="newline"></mspace><mi>m</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>m</mi><mi>a</mi><mi>s</mi><mi>s</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>s</mi><mi>u</mi><mi>b</mi><mi>s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi>e</mi><mspace linebreak="newline"></mspace><mi>c</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>s</mi><mi>p</mi><mi>e</mi><mi>c</mi><mi>i</mi><mi>f</mi><mi>i</mi><mi>c</mi><mo>&#xA0;</mo><mi>h</mi><mi>e</mi><mi>a</mi><mi>t</mi><mspace linebreak="newline"></mspace><mo>&#x2206;</mo><mi>T</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>c</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi>e</mi><mo>&#xA0;</mo><mi>i</mi><mi>n</mi><mo>&#xA0;</mo><mi>t</mi><mi>e</mi><mi>m</mi><mi>p</mi><mi>e</mi><mi>r</mi><mi>a</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>e</mi><mspace linebreak="newline"></mspace><menclose mathcolor="#0000FF" notation="box"><mo>&#x2206;</mo><mi>T</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><msub><mi>T</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub><mo>&#xA0;</mo><mo>-</mo><mo>&#xA0;</mo><msub><mi>T</mi><mrow><mi>i</mi><mi>n</mi><mi>i</mi><mi>t</mi><mi>i</mi><mi>a</mi><mi>l</mi></mrow></msub></menclose></math>


We want to raise the temperature of a swimming pool filled with water from 20.2 oC to 24.6 oC. So the value of ΔT is:


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