The following problem can be comprehended by the concept of heat. Concept introduction: Heat capacity is a physical quantity which is equal to the ratio of heat given to (or taken from) the object to the resultant change in temperature. Its SI unit is joule/ Kelvin. It is an extensive attribute of matter. When the heat capacity is calculated per unit molefor a substance, it is called molar heat capacity while it is called specific heat capacity or specific heat, when it is measured per unit mass for a substance. For aparticular substance, heat capacity is directly proportional to the quantity of the substance present. Yet the specific heat is an attribute of the structure of a substance. It depends on the number of available degrees of freedom in the particular substance, which permits the particles of the substance to accumulate thermal energy. Given: Here, we are given that when a metal (titanium or aluminium) weighing 4.7 g absorbs 11 J of energy, its temperature increases by 4.5 °C. We are asked to find out the specific heat (J/g °C) of the metal and identify whether the metal is titanium or aluminium.

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Chapter 3, Problem 3.97CQ

Interpretation Introduction

Interpretation: The following problem can be comprehended by the concept of heat.

Concept introduction: Heat capacity is a physical quantity which is equal to the ratio of heat given to (or taken from) the object to the resultant change in temperature. Its SI unit is joule/ Kelvin. It is an extensive attribute of matter. When the heat capacity is calculated per unit molefor a substance, it is called molar heat capacity while it is called specific heat capacity or specific heat, when it is measured per unit mass for a substance. For aparticular substance, heat capacity is directly proportional to the quantity of the substance present. Yet the specific heat is an attribute of the structure of a substance. It depends on the number of available degrees of freedom in the particular substance, which permits the particles of the substance to accumulate thermal energy.

Given: Here, we are given that when a metal (titanium or aluminium) weighing 4.7 g absorbs 11 J of energy, its temperature increases by 4.5 °C. We are asked to find out the specific heat (J/g °C) of the metal and identify whether the metal is titanium or aluminium.

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