State the relation between molarity and molality with formula.

Please refer to the answers given by your friends.

Abhinav also give the derivation of the equation given by Ishan.

@ Abhinav good efforts. 

Thank you.

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molality(m)=1000M / 1000d - Mm1

M --> Molarity

d--> density

m1--> molar mass


 

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Relation ship between Molarity (M) and Molality (m)

let moles os solid = nB

M = nB / V (in ml) x 1000

D(soln) = mass (soln) / V (soln)

Mass of solution = Density x Volume 

                                   d x 1000

[ Let assume of soln = 1000ml ]

M = nB / V (in ml) x 1000

M = WB / M wtB x 1000 / 1000          [ M = nB / 1000 x 1000 = nB ]

M = WB / MwtB

WB = M x MwtB

wt of solvent = wt of soln -- wt of solute

                      = 1000d -- M . MwtB 

Molality (m) = nB / WA (gm) x 1000

              m = M / 1000d -- M x MwtB        x   1000                            (  M = No. of moles of solute ) 

 

Here, 

A  = Solvent

B = Solute

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