Question

If 69.5 $\mathrm{kJ}$ of heat is applied to a 1012 -g block of metal, the temperature of the metal increases by $11.4^{\circ} \mathrm{C}$ . Calculate the specific heat capacity of the metal in $\mathrm{J} / \mathrm{g}^{\circ} \mathrm{C}$ .

Name: Problem 31, Chapter 10: Introductory Chemistry
Uploaded: 2021-01-18T10:22:00-08:00
Duration: 2 min 29 s
Channel: Rashmi Sinha
Description: If 69.5 kJ of heat is applied to a 1012 -g block of metal, the temperature of the metal increases by 11.4^∘ C . Calculate the specific heat capacity of the metal in J / g^∘ C .

   If 69.5 $\mathrm{kJ}$ of heat is applied to a 1012 -g block of metal, the temperature of the metal increases by $11.4^{\circ} \mathrm{C}$ . Calculate the specific heat capacity of the metal in $\mathrm{J} / \mathrm{g}^{\circ} \mathrm{C}$ .

Introductory Chemistry

Steven S. Zumdahl,… 7th Edition

Chapter 10, Problem 31

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Solved by Expert Rashmi Sinha

01/18/2021

Step 1

5 \, \text{kJ}$, and the change in temperature $\Delta T = 11.4^{\circ}C$. We want to find the specific heat capacity $c$ of the metal. Show more…

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If 69.5 $\mathrm{kJ}$ of heat is applied to a 1012 -g block of metal, the temperature of the metal increases by $11.4^{\circ} \mathrm{C}$ . Calculate the specific heat capacity of the metal in $\mathrm{J} / \mathrm{g}^{\circ} \mathrm{C}$ .

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Key Concepts

Specific Heat Capacity

Specific heat capacity is a property of a material that indicates how much heat energy is required to raise the temperature of a unit mass of the substance by one degree Celsius (or one Kelvin). It is a key concept in thermodynamics and helps in understanding how a material stores and transfers thermal energy.

Heat Transfer Equation

The heat transfer equation, often written as Q = m * c * ?T, is a fundamental relationship in thermodynamics. It connects the amount of heat added or removed (Q) with the mass (m) of the substance, its specific heat capacity (c), and the change in temperature (?T), allowing calculations of any one variable if the others are known.

Unit Conversion

Ensuring proper unit conversion is crucial in thermodynamic calculations. For example, converting energy units such as kilojoules to joules ensures consistent units across the variables in equations, thereby preventing errors and maintaining accuracy in the final result.

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