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What mass of sugar C(12)H(22)O(11)(M(0)=...

What mass of sugar `C_(12)H_(22)O_(11)(M_(0)=342)` must be dissolved in `4.0 kg` of `H_(2)O` to yield a solution that will freeze at `-3.72^(@)C`. (Take `K_(f)=1.86^(@)C m^(-1)`)

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To solve the problem, we need to determine the mass of sugar (sucrose, \( C_{12}H_{22}O_{11} \)) that must be dissolved in 4.0 kg of water to achieve a freezing point depression of -3.72°C. We will use the formula for freezing point depression: \[ \Delta T_f = K_f \cdot m \] Where: - \( \Delta T_f \) is the change in freezing point (in °C), ...
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