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Question

$$6.02\times 10^{20}$$ molecules of urea are present in $$100\ mL$$ of its solution. The concentration of solution is:


A
0.02 M
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B
0.01 M
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C
0.001 M
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D
0.1 M
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Solution

The correct option is B $$0.01\ M$$
The concentration of the solution is the ratio of the number of moles of urea to (volume in L) of solution.

The number of mols can b obtained from the ratio of the number of molecules to the Avogadro's number.

$$M= \dfrac{No\ of moles\ of\ substance}{Volume in Litre}=\dfrac{\dfrac{no.\ of particles}{N_A}}{Volume\ in\ L}           $$

$$\displaystyle M=\dfrac{\dfrac{6.02\times 10^{20}}{6.02\times 10^{23}}}{\dfrac{100}{1000}}=0.01M$$

Thus, the concentration of the solution is $$0.01 M$$.

Hence, the correct option is $$B$$

Chemistry

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