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Question

If 1 mL of water contains 20 drops, the number of water molecules, in each drop of water, is (A is Avogadro number)

Options

A.$\frac{0.5}{18}\text{ }A$
B.0.05 A
C.0.5 A
D.$\frac{0.05}{18}\text{ }A$

Solution

Sol. Key concept: Mass per drop gives moles per drop and then molecules.

Taking the density of water as 1 g mL⁻¹, one millilitre has a mass of 1 g. If it consists of 20 drops, the average mass per drop is 1/20 = 0.05 g.

$$n_{drop} = \frac{0.05}{18}\ mol$$

$$N_{drop} = \frac{0.05}{18}A = \frac{A}{360} \approx 1.67 \times 10^{21}$$

The symbol A in the question denotes Avogadro’s constant. Hence option (d).

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