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Calculate the molality of a solution tha...

Calculate the molality of a solution that contains 51.2 g of napthalene `(C_(10)H_(8))` in 500 mL of carbon tetrachloride. The density of `C Cl_(4)` is 1.60 g/mL.

A

0.250 m

B

0.500 m

C

0.750 m

D

0.840 m

Text Solution

Verified by Experts

The correct Answer is:
B
Given,
`W_(B)` = mass of napthalene = 51.2g
`M_(B)` = molar mass of napthalene `(C_(10)H_(8)) = 12 xx 10 + 8 = 128 g`
`W_(A)` = density (d) `xx` volume (V) `(because = (w)/(V))`
`W_(A) = 1.60 g mL^(-1) xx 500 ML = 800 g`
`because m = (W_(B))/(M_(B)) xx ((1000)/(W_(A)(kg)))`
`m = (51.2 xx 1000)/(128 xx 800) = 0.5`
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