Which of the following formula correctly gives the value of ebuillioscopic constant?

Which of the following formula correctly gives the value of ebuillioscopic constant?
  1. $\frac{\mathrm{W}_{1} \times 1000}{\Delta \mathrm{T}_{\mathrm{b}} \times \mathrm{W}_{2} \times \mathrm{M}_{2}}$
  2. $\frac{\mathrm{W}_{2} \times 1000}{\Delta \mathrm{T}_{\mathrm{b}} \times \mathrm{W}_{1} \times \mathrm{M}_{2}}$
  3. $\frac{\mathrm{M}_{2} \times \Delta \mathrm{T}_{\mathrm{b}} \times \mathrm{W}_{2}}{\mathrm{~W}_{1}}$
  4. $\frac{\Delta \mathrm{T}_{\mathrm{b}} \times \mathrm{M}_{2} \times \mathrm{W}_{1}}{\mathrm{~W}_{2}}$

Solution

$\Delta \mathrm{T}_{\mathrm{b}}=\mathrm{K}_{\mathrm{b}} \mathrm{m}=\mathrm{K}_{\mathrm{b}} \times \frac{\mathrm{W}_{2}}{\mathrm{M}_{2} \mathrm{~W}_{1}}$ $\therefore \mathrm{K}_{\mathrm{b}}=\frac{\Delta \mathrm{T}_{\mathrm{b}} \times \mathrm{M}_{2} \times \mathrm{W}_{1}}{\mathrm{~W}_{2}}$

Asked in: MHT CET 2020 (20 Oct Shift 1)

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