Chapter 3 Matter and Energy

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Presentation transcript:

Chapter 3 Matter and Energy 3.5 Specific Heat Learning Goal Calculate specific heat. © 2014 Pearson Education, Inc.

is different for different substances Specific Heat Specific heat is different for different substances is the amount of heat, in joules or calories, needed to change the temperature of 1 g of a substance by 1 ° C in the SI system has units of J/g ° C in the metric system has units of cal/g ° C © 2014 Pearson Education, Inc.

Calculating Specific Heat To calculate the specific heat (SH) of a substance we measure the heat (q) in joules (J), the mass (m) in grams, and the temperature change, which is written as ΔT. For example, the specific heat of water is

Specific Heat of Some Substances

Specific Heat of Liquid Water A large mass of water near a coastal city can absorb or release five times the energy absorbed or released by the same amount of rock near an inland city.

Guide to Calculating Specific Heat

Learning Check What is the specific heat of a metal if 24.8 g of the metal absorbs 275 J of energy and the temperature rises from 20.2 ° C to 24.5 ° C?

Solution What is the specific heat of a metal if 24.8 g of the metal absorbs 275 J of energy and the temperature rises from 20.2 ° C to 24.5 ° C? Step 1 Given 24.8 g, 275 J, ΔT = 4.3 ° C Need J/g ° C Step 2 Write the relationship for specific heat.

Solution What is the specific heat of a metal if 24.8 g of the metal absorbs 275 J of energy and the temperature rises from 20.2 ° C to 24.5 ° C? Step 3 Substitute the given values into equation.

Heat Equation from Specific Heat Rearranging the specific heat expression gives the heat equation.

Heat Equation from Specific Heat The amount of heat lost or gained by a substance is calculated from the following equation q = m × ΔT × SH where m represents the mass of substance (g) the temperature change is represented by (ΔT) the specific heat, (SH) of the substance is given in units of (J/g ° C)

Guide to Calculations Using Specific Heat

Sample Problem, Using SH A layer of copper (Cu) on a pan has a mass of 135 g. How much heat (kJ) is needed to raise the temperature of the copper from 26 ° C to 328 ° C? (The specific heat of Cu is 0.385 J/g ° C.) Step 1 Given 135 g, 26 ° C to 328 ° C, SH = 0.385 J/g ° C Need joules

Sample Problem, Using SH A layer of copper (Cu) on a pan has a mass of 135 g. How much heat (kJ) is needed to raise the temperature of the copper from 26 ° C to 328 ° C? (The specific heat of Cu is 0.385 J/g ° C.) Step 2 Calculate the temperature change. ΔT = 328 ° C – 26 ° C = 302 ° C Step 3 Write the heat equation. q = m × ΔT × SH(Cu)

Sample Problem, Using SH A layer of copper (Cu) on a pan has a mass of 135 g. How much heat (kJ) is needed to raise the temperature of the copper from 26 ° C to 328 ° C? (The specific heat of Cu is 0.385 J/g ° C.) Step 4 Substitute in values and solve.

Learning Check How many kilojoules are needed to raise the temperature of 325 g of water from 15.0 ° C to 77.0 °C? A. 20.4 kJ B. 77.7 kJ C. 84.3 kJ

Solution How many kilojoules are needed to raise the temperature of 325 g of water from 15.0 ° C to 77.0 ° C? C. 84.3 kJ Step 1 Given 325 g water SH(water) = 4.184 J/g ° C 15.0 ° C to 77.0 ° C Need kilojoules

Solution How many kilojoules are needed to raise the temperature of 325 g of water from 15.0 °C to 77.0 °C? C. 84.3 kJ Step 2 Calculate the temperature change. ΔT = 77.0 °C – 15.0 °C = 62.0 °C Step 3 Write the heat equation. q = m × ΔT × SH(water)

Solution How many kilojoules are needed to raise the temperature of 325 g of water from 15.0 °C to 77.0 °C? C. 84.3 kJ Step 4 Substitute in values and solve.

Calculating Heat Loss A 225-g sample of hot tea cools from 74.6 °C to 22.4 °C. How much heat, in kilojoules, is lost, assuming that tea has the same specific heat as water? Step 1 Given 225 g tea (water) SH(water) = 4.184 J/g °C 74.6 °C to 22.4 °C Need kilojoules

Calculating Heat Loss A 225-g sample of hot tea cools from 74.6 °C to 22.4 °C. How much heat, in kilojoules, is lost, assuming that tea has the same specific heat as water? Step 2 Calculate the temperature change. ΔT = 22.4 °C – 74.6 °C = -52.2 °C Step 3 Write the heat equation. q = m × ΔT × SH(water)

Calculating Heat Loss A 225-g sample of hot tea cools from 74.6 ° C to 22.4 ° C. How much heat, in kilojoules, is lost, assuming that tea has the same specific heat as water? Step 4 Substitute in values and solve.

Learning Check When 8.81 kJ is absorbed by a piece of iron, its temperature rises from 15 ° C to 122 ° C. What is its mass, in grams?

Solution When 8.81 kJ is absorbed by a piece of iron, its temperature rises from 15 ° C to 122 ° C. What is its mass, in grams? Step 1 Given 8.81 kJ SH(iron) = 0.452 J/g ° C 15 ° C to 122 ° C Need mass of iron

Solution When 8.81 kJ is absorbed by a piece of iron, its temperature rises from 15 ° C to 122 ° C. What is its mass, in grams? Step 2 Calculate the temperature change. ΔT = 15 ° C – 122 ° C = 107 ° C Step 3 Write the heat equation.

Calculating Heat Loss When 8.81 kJ is absorbed by a piece of iron, its temperature rises from 15 ° C to 122 ° C. What is its mass, in grams? Step 4 Substitute in values and solve.