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In winter, the normal temperature in Dha...

In winter, the normal temperature in Dharmshala is `- 8^(@)` C Is a `30%` by mass of an aqueous solution of ethylene glycol (molar mass = 62) suitable for car radiator . `K_(f)` for water is 1 . 86 K/m

Text Solution

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Mass of ethylene glycol `W_B` = 30 g, Mass of solution = 100 g
`:.` Mass of water = 100 - 30
= 70 g=0.07 kg
`Delta T_f = K_f m" "`[Depression in freezing point equation]
`:. Delta T_f=K_f xx (W_B)/(M_B)xx(1)/(W_A(kg.)) =1.86 xx (30)/(62) xx (1)/(0.07 kg)`
`Delta T_f= 12.86 K = 12.86^@ C`
`:. T_f = T_f^@ - Delta T_f`
`=(0 - 12.86)^@C`
`= -12.86^@C`.
Thus the solution will remain liquid at `-8^@C` in Dharmshala. The answer is yes.
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