Issue: Calculating the heat evolved per mole of sodium hydroxide (NaOH) when the amount of NaOH is doubled. Context: Original calculation: 4.00 g of NaOH releases 3762 J of heat. New scenario: 8.00 g of NaOH is used. Figure out how much heat is evolved per mol.

Name: Solved: Issue: Calculating the heat evolved per mole of sodium hydroxide (NaOH) when the amount of NaOH is doubled. Context: Original calculation: 4.00 g of NaOH releases 3762 J of heat. New scenario: 8.00 g of NaOH is used. Figure out how much heat is evolved per mol. - MathMaster
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Answer to a math question Issue: Calculating the heat evolved per mole of sodium hydroxide (NaOH) when the amount of NaOH is doubled. Context: Original calculation: 4.00 g of NaOH releases 3762 J of heat. New scenario: 8.00 g of NaOH is used. Figure out how much heat is evolved per mol.

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Cristian

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115 Answers

\text{Given heat per 4.00 g of NaOH:} \\ q_{4 \text{g}} = 3762 \, \text{J}

\text{New heat for 8.00 g of NaOH:} \\q_{8 \text{g}} = 2 \times q_{4 \text{g}} = 2 \times 3762 = 7524 \, \text{J}

\text{Molar mass of } \text{NaOH}: \\M = 23.00 + 16.00 + 1.00 = 40.00 \, \text{g/mol}

\text{Heat evolved per mole of NaOH:} \\q_{\text{mol}} = \frac{7524 \, \text{J}}{8.00 \, \text{g}} \times 40.00 \, \text{g/mol} = 752.4 \, \text{J/g} \times 40.00 \, \text{g/mol} = 37620 \, \text{J/mol}

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