Question

When the temperature of an iron sphere of $1kg$ falls from ${30^0}C$ to ${25^0}C$, $550$ calories of heat is released. The heat capacity of iron sphere in $Cal{/^0}C$ is
A)$110$
B)$220$
C)$330$
D)$440$

Answer 1

Hint: We can use the formula to find the heat required to change the temperature of a body when temperature difference is given. The formula is given by $H = mS\Delta T$
Where,
$m$ is mass of the block,
$S$is specific heat of the block,
$\Delta T$ is a change in temperature.

Complete step by step answer:
It is the property of a body that the heat required to raise the temperature of a body by$\Delta T$is exactly the same as the heat lost by the body when its temperature decreases by the same $\Delta T$.
$H = mS\Delta T$
$550 = S(30 - 25)$
$550 = S \times 5$
${C_p} = 110Cal{/^0}C$
A) is correct.

Additional information:
The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by the mass of the sample. Informally, it is the amount of energy that must be added, in the form of heat, to one unit of mass of the substance in order to cause an increase of one unit in its temperature.
The specific heat often varies with temperature, and is different for each state of matter. Liquid water has one of the highest specific heats among common substances.

Note: Specific heat varies with the change in temperature. In this question, the change in temperature is very small so we can take the specific heat capacity to be constant.