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The density at 20^(@)C of a 0.5 solution...

The density at `20^(@)C` of a 0.5 solution of acetic acid in water is `1.0042` g/m L. The molality of the solution

A

`0.50m`

B

`0.613m`

C

`0.513m`

D

`0.48m`

Text Solution

Verified by Experts

The correct Answer is:
C

Let , volume of solution `=1000m L` Moles of solute `=0.5`
`therefore` Weight of acetic acid `=0.5xx60g=30g`
Mass of solution = volume of solution x density
`therefore = 1000m L xx1.0042g//m L `
`therefore` Mass of solution `=1004.2g`
Mass of solvent `=1004 .2g-30g`
`therefore =974.2g`
Molality `=(1000xx"moles of solute")/("mass of solvent")=(1000xx0.5)/(974.2)`
`therefore` Molality `=0.513 m`
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Knowledge Check

  • Density of a 2.05 M solution of acetic acid in water is 1.02 g/mL. The molality of the solution is

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