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Calculate the mass of ascorbic acid \(\left(\mathrm{C}_6 \mathrm{H}_8 \mathrm{O}_6\right)\) to be dissolved in 75 g of acetic acid to lower its melting point by \(1.5^{\circ} \mathrm{C}\) .\(\left[\mathrm{K}_{\mathrm{f}}=3.9 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right.\), H = 1, C = 12, O = 16 amu]
- A 5.770 g
- B 4.077 g
- C 5.077 g
- D 4.770 g
Answer & Solution
Correct Answer
(C) 5.077 g
Step-by-step Solution
Detailed explanation
\(M_{\mathrm{C}_6 \mathrm{H}_8 \mathrm{O}_6} = (6 \times 12) + (8 \times 1) + (6 \times 16) = 176 \mathrm{~g/mol}\) \(\Delta T_f = K_f \times m\)
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