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When 20g of naphtholic acid (C(11)H(8)O(...

When 20g of naphtholic acid `(C_(11)H_(8)O_(2))` is dissolved in 50 g of benzene `(K_(f)=1.72"K kg mol"^(-1))`, a freezinf point depression of 2K is observed. The Van't Hoff factor (i) is

A

0.5

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
a
`DeltaT_(f)=iK_(f)m`
`=iK_(f)xxW_(B)/(M_(b)xxW_(A))`
`2K=(ixx(1.72"K kg mol"^(-1))xx(20g))/((172"g mol"^(-1))xx(0.05 kg))`
`i=(2xx172xx0.05)/(1.72xx20)=0.5`
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