Q.

M=molarity  of the solution, m=molality of the solution

d=density of the solution (ing.mL1),M1=gram molecular weight of solute

Which of the following relations is correct

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a

m=M×100d+MM1

b

m=M×100(1000×d)MM1

c

m=M1000dMM1

d

M=m×100(1000×d)MM1

answer is C.

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Detailed Solution

Weightofsolute=n×M1(g)

Totalweightofsolution=1000+nM

Volumeofsolution=1000+nM1d

Molarity(M)=nV(ml)×1000

=n100+nM1d×1000

M=nd×10001000+nM1

1000×M+nMM1=nd×1000

n=1000M1000dMM1

m=nkg=1000×M(1000dMM1)

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