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Ecosystems and Material Cycles

Calculating the rate of decay

  • 3 things to know
  • Paper 2

Overview

Mean rate of decay from mass lost over time, comparing rates at two temperatures, mass remaining after a period or after a percentage loss, and why decay slows later.

What you need to know

Answer each one before you reveal it.

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Key term

How is the mean rate of decay of a sample calculated from its change in mass?

Numbers

A 40 g sample of grass cuttings decays at a mean rate of 1.6 g per day. Calculate the mass remaining after 5 days.

Numbers

A 120 g sample of grass cuttings has lost 45% of its mass after three weeks. Calculate the mass remaining.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is the mean rate of decay of a sample calculated from its change in mass?

    Model answer

    Divide the mass lost by the time taken for that loss.

  2. 2

    A sample of leaf litter falls from 80 g to 50 g in 10 days. Calculate the mean rate of decay.

    Model answer

    It loses 30 g in 10 days, so the rate is 30 ÷ 10 = 3 g per day.

  3. 3

    A 200 g sample of food waste loses 60 g of its mass in 15 days. Calculate the mean rate of decay in grams per day.

    Model answer

    60 ÷ 15 = 4 g per day.

  4. 4

    Compost decays at 2 g per day at 15 °C and at 5 g per day at 25 °C. Calculate how many times faster the decay is at the higher temperature.

    Model answer

    5 ÷ 2 = 2.5 times faster.

  5. 5

    A 40 g sample of grass cuttings decays at a mean rate of 1.6 g per day. Calculate the mass remaining after 5 days.

    Model answer

    1.6 × 5 = 8 g is lost, so 40 − 8 = 32 g remains.

  6. 6

    A 120 g sample of grass cuttings has lost 45% of its mass after three weeks. Calculate the mass remaining.

    Model answer

    45% of 120 g is 54 g lost, so 120 − 54 = 66 g remains.

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ANitrates cause an algal bloom that blocks the light.
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