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The density of 3 M solution of sodium th...

The density of 3 M solution of sodium thiosulphate `(Na_(2)S_(2)O_(3))` is 1.25 g/mL. Calculate
mole fraction of sodium thiosulphate

A

`12.64%`

B

`37.92%`

C

`0.87%`

D

`63.21%`

Text Solution

Verified by Experts

The correct Answer is:
B
Mass of 1000 mL of `Na_(2)S_(2)O_(3)` solution
`=1.25xx1000=1250g`
Molarity = `("mass")/("molecular mass" xx "volume (mL)")xx1000`
`implies3=("mass "xx1000)/(158xx1000)`
`therefore` Mass of `Na_(2)S_(2)O_(3)` is 1000 mL. Of 3M solution `=3xx158=474g`
Percentage by weight of `Na_(2)S_(2)O_(3)` in solution
`=(474)/(1250)xx100=37.92%`.
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