Question #120553

How many grams of ammonium chloride must be added to 0.050 kg of water to produce a

solution that freezes at -5.00 °C? The cryoscopic constant of water is 1.86 °C kg mol-1

. The

molar mass of ammonium chloride is 53.5 g mol-1

.

solution that freezes at -5.00 °C? The cryoscopic constant of water is 1.86 °C kg mol-1

. The

molar mass of ammonium chloride is 53.5 g mol-1

.

Expert's answer

W_{B} - ?; M_{B} = 53.5 g/mol; W_{A} = 0.05 kg; ∆T = 5 °C

∆T = (K_{f}×W_{B})/(M_{B}×W_{A})

W_{B} = (∆T×M_{B}×W_{A})/K_{f}

W_{B} = (5 °C × 53.5 g/mol × 0.05 kg)/(1.86 °C kg/mol) = 7.19 g

**Answer: 7.19 g**

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