Q93 / 200 · NEET 2008 (Screening) · Chemistry

Volume occupied by one molecule of water (density $=1 \mathrm{~g} \mathrm{~cm}^{-3}$ ) is

  • A
    $9.0 \times 10^{-23} \mathrm{~cm}^3$
  • B
    $6.023 \times 10^{-23} \mathrm{~cm}^3$
  • Correct answer
    C
    $3.0 \times 10^{-23} \mathrm{~cm}^3$
  • D
    $5.5 \times 10^{-23} \mathrm{~cm}^3$

Solution

$6.02 \times 10^{23}$ molecules of water $\begin{aligned} & =1 \mathrm{~mol} \\ & =18 \mathrm{~g} \end{aligned}$ $\therefore$ Mass of one molecule of water $\begin{aligned} & =\frac{18}{6.023 \times 10^{23} \mathrm{~g}} \\ \because V=\frac{m}{d} & =\frac{d=\frac{m}{V}}{6.023 \times 10^{23} \times 1} \\ \therefore & \approx 3 \times 10^{-23} \mathrm{~cm}^3 \end{aligned}$

Hence, the correct answer is option: 'C'.

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