Find the mass (in g) of a copper calorimeter if its temperature rises by 45° when it absorbs 3.6 kJ of heat. The specific heat capacity of copper is 0.4 Jg^-1K^-1.

Question

Question

This question was previously asked in

RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 2).

Attempt Online

Answer 1

Concept:

Specific heat or specific heat capacity (C): The amount of heat required for a unit mass of body to raise the temperature by 1 degree Celsius is called specific heat capacity of that body.

\(C=Q/(mΔ T)\)

Where Q = heat required, ΔT = change in temperature and m = mass of the body.

CALCULATION:

Given that:

Temperature difference (ΔT) = 45°C

Heat (Q) = 3.6 kJ = 3600 J

C = 0.4 J/(kg K)

Use the formula:

\(Q = mCΔ T\)

3600 = m × 0.4 × 45

⇒ m = 200 g

Hence option 2 is correct.

Note:

The change in temperature in kelvin (K) is same as the change in ^∘C .