Specific Heat Capacity Calculations (GCSE Physics)

Specific Heat Capacity Calculations

Specific Heat Capacity Calculations

Question: Rebecca has an iron block, with a mass of 2 kg. She heats up the block using a heater, so the temperature increases by 5 °C. Calculate the energy transferred by the heater, given that the specific heat capacity of iron is 450 J / kg °C.

1. Write out the equation.

∆E=mc∆θ

2. Substitute in the numbers.

∆E = 2 x 450 x 5
∆E = 4500 J

 

Question: Sebastien has a sample of copper at 30 °C, which weighs 28g. 1615 J of energy is added to the copper sample. What is the final temperature of the copper, given that the specific heat capacity of copper is 387 J / kg °C.

1. Write out the equation.

∆E=mc∆θ

2. Rearrange the equation.

∆E=mc∆θ
∆θ = ∆E / mc

3. Substitute in the numbers.

∆θ = ∆E / mc
∆θ = 1615 / (0.028) x 387
∆θ = 1615 / 10.836
∆θ = 149.0402…
∆θ = 149 °C

4. Calculate the final temperature.

T₂ =T₁ + ∆T
T₂ = 30 + 149
T₂ = 179 °C

 

FAQs

→What is specific heat capacity?

Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree Celsius (°C). It is often abbreviated as “Cp” or “SHC”.

→Why do we need to calculate specific heat capacity?

Calculating specific heat capacity is important in physics because it allows us to determine how much heat is needed to change the temperature of a substance. This information can be used in a variety of real-life applications, such as in the design of heating and cooling systems, the study of energy transfer in thermodynamics, and the analysis of chemical reactions.

→How do we calculate specific heat capacity (GCSE Physics)?

The formula for calculating specific heat capacity is:

Cp = (Q / m) / ΔT

where Cp is the specific heat capacity, Q is the amount of heat energy added to the substance, m is the mass of the substance, and ΔT is the change in temperature.

→Can specific heat capacity be used to compare different substances?

Yes, specific heat capacity can be used to compare the heat-absorbing abilities of different substances. Substances with a higher specific heat capacity require more heat energy to raise their temperature by one degree Celsius, while substances with a lower specific heat capacity require less heat energy.

→Is specific heat capacity constant for a given substance?

In general, specific heat capacity is a constant property of a substance, meaning that it does not change with temperature or pressure. However, some substances, such as liquids and gases, can have a slightly changing specific heat capacity due to changes in their internal energy as their temperature changes.

→What are some common substances and their specific heat capacities?

Some common substances and their approximate specific heat capacities include:

Water: 4.18 J/g°C
Aluminum: 0.90 J/g°C
Iron: 0.45 J/g°C
Copper: 0.39 J/g°C
Gold: 0.13 J/g°C

→How does specific heat capacity relate to thermal conductivity and thermal diffusivity?

Specific heat capacity, thermal conductivity, and thermal diffusivity are all properties that describe a substance’s ability to transfer heat. Specific heat capacity describes the amount of heat energy required to raise the temperature of a substance, while thermal conductivity describes a substance’s ability to conduct heat through its interior. Thermal diffusivity describes a substance’s ability to spread heat through its interior.

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