Not given in the exam, recall it.
What it is for
Specific heat capacity is used in Heat (SPM Physics Form 4). Keep the SI units in every line of working. Heat
Symbols and SI units
| Symbol | Meaning | SI unit |
|---|---|---|
| Q | heat energy | J |
| m | mass | kg |
| c | specific heat capacity | J kg⁻¹ °C⁻¹ |
| θ | temperature change | °C |
Rearrangements
c = Q / (mθ)m = Q / (cθ)θ = Q / (mc)
Worked example
Common trap
Understanding specific heat capacity
The equation Q = mcθ links the heat energy absorbed or released to the temperature change of a substance. Q is heat energy in joules (J), m is mass in kilograms (kg), c is the specific heat capacity in J kg⁻¹ °C⁻¹, and θ is the temperature change in degrees Celsius (°C).
The specific heat capacity tells you how much energy 1 kg of a material needs to warm by 1 °C. A high value, like water's 4200 J kg⁻¹ °C⁻¹, means the substance resists temperature change. To find other quantities, rearrange to c = Q / (mθ), m = Q / (cθ), or θ = Q / (mc).
Note that θ is a change, not an absolute temperature.
A worked example, step by step
How much heat raises the temperature of m = 0.5 kg of aluminium by 20 °C? Its specific heat capacity is c = 900 J kg⁻¹ °C⁻¹.
Write the formula: Q = mcθ. Substitute with units: Q = 0.5 kg × 900 J kg⁻¹ °C⁻¹ × 20 °C.
Multiply step by step: 0.5 × 900 = 450, then 450 × 20 = 9000.
So Q = 9000 J = 9.0 × 10³ J. Check the units: kg × J kg⁻¹ °C⁻¹ × °C leaves J, which is correct. The aluminium needs 9.0 × 10³ J, quoted to two significant figures.
Common mistakes and how this is tested
The key trap is using the c value given in the question and treating θ as a change, not the final temperature. If a block goes from 20 °C to 50 °C, then θ = 30 °C, not 50 °C.
More errors: mixing grams with kilograms in m; forgetting that heat lost by a hot body equals heat gained by a cold one in mixing problems; and ignoring heat lost to the surroundings, which makes an experimental c larger than the true value.
The command word calculate asks for the substitution with units. Define may ask for the meaning of specific heat capacity, and explain may ask why coastal areas have a smaller temperature range.
Source: DSKP KSSM Physics Form 4 and 5 (Versi English), Sijil Pelajaran Malaysia: Format Pentaksiran mulai 2021, Fizik (4531) (Bahagian Pembangunan Kurikulum (BPK), KPM)