KCET · Chemistry · Some Basic Concepts of Chemistry
The total number of electrons in \(18 \mathrm{~mL}\) of water (density \(=1 \mathrm{~g} \mathrm{~mL}^{-1}\) ) is
- A \(6.02 \times 10^{25}\)
- B \(6.02 \times 10^{24}\)
- C \(6.02 \times 18 \times 10^{23}\)
- D \(6.02 \times 10^{23}\)
Answer & Solution
Correct Answer
(B) \(6.02 \times 10^{24}\)
Step-by-step Solution
Detailed explanation
In \(18 \mathrm{~mL}\), number of moles of
\(\mathrm{H}_{2} \mathrm{O}=\frac{\text { mass of } \mathrm{H}_{2} \mathrm{O}}{\text { molecular mass }}\)
\(=\frac{\text { density } \times \text { volume }}{\text { molecular mass }}\)
\(=\frac{1 \times 18}{18}=1 \mathrm{~mol}\)
\(\because\) Number of moles of \(\mathrm{H}_{2} \mathrm{O}\) in \(1 \mathrm{~mol}\)
\(=6.022 \times 10^{23}\)
and number of \(\mathrm{e}^{-}\)in 1 molecule of \(\mathrm{H}_{2} \mathrm{O}\)
\(=1 \times 2+8=10\)
\(\therefore\) Number of \(\mathrm{e}^{-}\)in 1 mole of \(\mathrm{H}_{2} \mathrm{O}\)
\(=6.022 \times 10^{23} \times 10\)
\(=6.022 \times 10^{24}\)
\(\mathrm{H}_{2} \mathrm{O}=\frac{\text { mass of } \mathrm{H}_{2} \mathrm{O}}{\text { molecular mass }}\)
\(=\frac{\text { density } \times \text { volume }}{\text { molecular mass }}\)
\(=\frac{1 \times 18}{18}=1 \mathrm{~mol}\)
\(\because\) Number of moles of \(\mathrm{H}_{2} \mathrm{O}\) in \(1 \mathrm{~mol}\)
\(=6.022 \times 10^{23}\)
and number of \(\mathrm{e}^{-}\)in 1 molecule of \(\mathrm{H}_{2} \mathrm{O}\)
\(=1 \times 2+8=10\)
\(\therefore\) Number of \(\mathrm{e}^{-}\)in 1 mole of \(\mathrm{H}_{2} \mathrm{O}\)
\(=6.022 \times 10^{23} \times 10\)
\(=6.022 \times 10^{24}\)
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