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
B
0.01 M
C
0.001 M
D
0.1 M

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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