It is necessary to determine the specific heat of an unknown object. The mass of the object is $201.0 \mathrm {~g} .$ It is determined experimentally that it takes $15.0 \mathrm {~J}$ to raise the temperature $10.0 ^ { \circ } \mathrm { C }$ What is the specific heat of the object?
A) 7.46 J/kg ∙ K
B) 1500 J/kg ∙ K
C) 0.00130 J/kg ∙ K
D) 3,020,000 J/kg ∙ K

Question

Quizplus · Accepted Answer

The specific heat of an object is defined as the amount of heat energy required to raise the temperature of one gram of the object by one degree Celsius. In this case, it takes 15.0 J to raise the temperature of 201.0 g of the object by 10.0 °C. Therefore, the specific heat of the object is:$$c = \frac{Q}{m \Delta T} = \frac{15.0 \mathrm {~J}}{201.0 \mathrm {~g} 	imes 10.0 ^ { \circ } \mathrm { C }} = 0.00746 \mathrm {~J/g \cdot ^ { \circ } C }$$$$= 7.46 \mathrm {~J/kg \cdot K }$$

It Is Necessary to Determine the Specific Heat of an Unknown