Q.

The number of ions  present in 1 ml of 0.1 M CaCl2 solution is

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a

1.8 ×1019

b

1.8 ×1020

c

6.0 ×1020

d

1.8 ×1021

answer is A.

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Detailed Solution

Molarity of CaCl2 = 0.1M

Volume of CaCl2 = 1ml

\large {M_{CaC{l_2}}} = {n_{CaC{l_2}}} \times \frac{{1000}}{{{V_{ml}}}}\

\large 0.1 = {n_{CaC{l_2}}} \times \frac{{1000}}{1}\

\large {n_{CaC{l_2}}} = 10^{-4}

\large \mathop {CaC{l_2}} \limits_{{{10}^{ - 4}}mole}^{mole}\rightarrow \mathop {C{a^{ + 2}}}\limits_{{{10}^{ - 4}}{N_A}}^{{N_A}} + \mathop {2C{l^ - }}\limits_{2 \times {{10}^{ - 4}}{N_A}}^{2{N_A}} \

Total number of ions = \large 3 \times 10^{-4} ions

= \large 3 \times 10^{-4} \times 6.023 \times 10^{23}

1.8×1020

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