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Thermal Physics

Specific heat capacity

  • 3 things to know
  • Component 1

Overview

Specific heat capacity, equation Q = mcΔθ, defining every symbol and its unit and why water is a good coolant in a car engine.

What you need to know

Answer each one before you reveal it.

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Key term

State the equation Q = mcΔθ, defining every symbol and its unit.

Key term

Describe how the specific heat capacity of a metal block is measured in the laboratory.

Key term

State the unit of specific heat capacity.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define specific heat capacity.

    Model answer

    The specific heat capacity of a substance is the heat needed to raise the temperature of one kilogram of it by one kelvin.

  2. 2

    State the equation Q = mcΔθ, defining every symbol and its unit.

    Model answer

    In Q = mcΔθ, Q is the heat supplied in J, m is the mass in kg, c is the specific heat capacity in J kg⁻¹ K⁻¹ and Δθ is the temperature change in K.

  3. 3

    State the unit of specific heat capacity.

    Model answer

    Specific heat capacity is measured in J kg⁻¹ K⁻¹.

  4. 4

    Why is Q = mcΔθ described as the defining equation for specific heat capacity?

    Model answer

    The equation is what fixes the meaning of c, since the specific heat capacity is defined as Q divided by the product of mass and temperature change.

  5. 5

    State an approximate value for the specific heat capacity of water.

    Model answer

    Water has a specific heat capacity of about 4180 J kg⁻¹ K⁻¹.

  6. 6

    Calculate the heat needed to raise the temperature of 2.00 kg of water from 20.0 °C to 80.0 °C. Take c as 4180 J kg⁻¹ K⁻¹.

    Model answer

    The heat needed is 2.00 × 4180 × 60.0 = 5.02 × 10⁵ J. Dividing 501600 J by 2.00 × 4180 returns the 60.0 K rise.

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