25g of a solute of molar mass 250g/molecular is dissolved in 100ml of water to form a. Solution whose density is 1.25 g/ml. The molality is? ( answer =0.8) please solve it.

2 Answers
May 22, 2018

#"1 m"# is correct answer.

Explanation:

Moles of solute#= "25 g"/"250 g/mol" = "0.1 mol"#

Density of water#= 1\ "g/ml"#

Mass of solvent (water)#= 100 cancel"ml" × 1 "g"/cancel"ml" = 100\ "g" = "0.1 kg"#

#"Molality" = "Moles of solute"/"Mass of solvent (in kg)"#

#"Molality" = (cancel"0.1" "mol")/(cancel"0.1" "kg") = "1 m"#

Molality of solution is #"1 m"#

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The one who got #"0.8 m"# used the wrong formula of Molality as shown below

#"Molality" = "Moles of solute"/"Mass of solution (in kg)"#

Mass of solution#= 100 cancel"ml" × 1.25 "g"/cancel"ml" = 125\ "g" = 0.125\ "kg"#

#"Molality" = "0.1 mol"/"0.125 kg" = "0.8 m"#

This is wrong answer. Molality is moles of solute per #1# kg solvent (not solution).

May 22, 2018

As written your answer is INCORRECT....

Explanation:

By definition...#"molality"="moles of solute"/"mass of solvent in kg"#

And so we got #((25.0*g)/(250.0*g*mol^-1))/(0.100*kg)=1*mol*kg^-1#

Given the solution density, we might be able to work out the molar concentration, but I would readdress the terms of your question FIRST....