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12 March, 12:44

An empty container has a mass of 0.6 kg.

When the container is full of rice, it has a mass of 18.6 kg.

The average mass of a grain of rice is 2 x 10-2 g.

Use this information to work out how many grains of rice are in the container.

Give your answer in standard index form.

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  1. 12 March, 13:12
    0
    There are 9 * 10^5 grains of rice in the container.

    Step-by-step explanation:

    Step 1: Find the mass of rice in the container.

    Mass of empty container = 0.6 kg

    Mass of container filled with rice = 18.6 kg

    ⇒ Mass of rice = 18.6 - 0.6 = 18 kg

    Step 2: Find the number of grains in the container.

    Mass of one grain of rice = 2 * 10^-2 g = 2 * 10^-2/10³ kg (∵ 1 kg = 1000 g)

    = 2 * 10^-5 kg

    ⇒ Number of grains of rice = Total Mass of rice/Mass of 1 grain

    = 18/2 * 10^-5

    = 9 * 10^5 grains of rice
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