Problem

Based on Table G, what is the approximate mass of \( \mathrm{NH}_{3} \) that must be dissolved in 200 grams of water to produce a saturated solution at \( 20 .{ }^{\circ} \mathrm{C} \) ?
1. \( 28 \mathrm{~g} \)
2. \( 56 \mathrm{~g} \)
3. \( \quad 100 \mathrm{~g} \)
4. \( \quad 112 \mathrm{~g} \)

Answer

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Answer

\( m_2 = \frac{m_1 \times s}{1 + s} = \frac{200 \mathrm{~g} \times \frac{112 \mathrm{~g~NH_3}}{100 \mathrm{~g~H_2O}}}{1 + \frac{112 \mathrm{~g~NH_3}}{100 \mathrm{~g~H_2O}}} \)

Steps

Step 1 :\( m_1 = 200 \mathrm{~g} \)

Step 2 :\( s = \frac{112 \mathrm{~g~NH_3}}{100 \mathrm{~g~H_2O}} \)

Step 3 :\( m_2 = \frac{m_1 \times s}{1 + s} = \frac{200 \mathrm{~g} \times \frac{112 \mathrm{~g~NH_3}}{100 \mathrm{~g~H_2O}}}{1 + \frac{112 \mathrm{~g~NH_3}}{100 \mathrm{~g~H_2O}}} \)

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