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What mass of ethylene glycol must be added to of water to lower the freezing point of water from to…

Chemistry20261 markNumerical
What mass of ethylene glycol must be added to $5\cdot50\text{ kg}$ of water to lower the freezing point of water from $0^\circ\text{C}$ to $-10\cdot0^\circ\text{C}$? ($K_f$ for water $= 1\cdot86^\circ\text{C kg mol}^{-1}$, molecular weight of ethylene glycol $= 62\cdot0\text{ g mol}^{-1}$)

Answer

Answer

Official answer key

Formula used: Depression of freezing point: dTf = i*Kf*m with Kf = 1.86 K kg mol^-1, M2 = 62 g mol^-1, w1 = 5500 g, dTf = 10 K, so w2 = 1833 g

$w = \dfrac{M_2\,\Delta T_f\,W}{1000\,K_f} = \dfrac{62\times10\times5500}{1000\times1.86} = 1833\ \mathrm{g}$

Final answer: 1833 g

Solutions

From ISC 2026 Specimen Chemistry Paper 1, question 20(ii).