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Specific Heat Capacity and Specific Latent Heat in Calculations

Warming a substance takes m c delta theta, while changing its state takes m L with no temperature change at all. A heating curve is read as a run of these two calculations taken in order.

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What a learner can do afterwards

  • Works a multi-stage problem that both warms and melts a sample
  • Reads a temperature-time graph and names the flat sections as changes of state
  • Uses a heater's power and running time as the energy supplied, and comments on losses to the surroundings

1 · Read

Warming follows Q equals m c delta T. Mass times specific heat times temperature change. Water needs 4200 J for each kilogram per degree, so 0.5 kg warmed by 10 degrees takes 0.5 times 4200 times 10, which is 21000 J.

Melting or boiling follows Q equals m L, with no temperature change at all. The energy loosens molecules instead of heating them. So 0.2 kg of ice melting at 0 degrees takes 0.2 times 334000, which is 66800 J.

Try it together

A 50 W heater running 120 s supplies power times time, which is 6000 J. Some heat always leaks to the room, so the sample warms less than power times time predicts. Big exam questions chain stages: warm the ice, melt it, then warm the water, in order.

Good to know

Read a temperature-time graph by shape. Slopes mean warming, while flat sections mean a change of state is running. The thermometer freezes until melting or boiling finishes, then the line climbs again.

Warm with m c delta T, change state with m L, feed heaters with power times time, and read flats as changes of state.

2 · Watch

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Specific Heat Capacity and Specific Latent Heat in Calculations · Science, ages 15 to 17 · LightMySky