Final answer:
To calculate the amount (mol) of sucrose that reacted, we need to use the equation qat = qsoln. Given the molar mass of sucrose, the change in temperature, and the heat absorbed by the solution and solvent, we can calculate the amount of sucrose that reacted.
Step-by-step explanation:
To calculate the amount (mol) of sucrose that reacted, we need to use the equation:
qat = qsoln
where qat is the heat absorbed by the solution, qsoln is the heat absorbed by the solvent (water), and qat = mcΔT
Given:
• Molar mass of sucrose = 342.3 g/mol
• ΔT = 2.14 °C
• qat = 5.37 kJ
• qsol = 0.899 kJ
First, convert qat and qsol into joules:
• qat = 5.37 kJ * 1000 J/kJ = 5370 J
• qsol = 0.899 kJ * 1000 J/kJ = 899 J
Next, calculate the mass of the solution:
• m = qat / cΔT
• m = 5370 J / (4.18 J/g°C * 2.14°C) = 622.085 g
Finally, calculate the amount (mol) of sucrose that reacted:
• mol = mass / molar mass
• mol = 622.085 g / 342.3 g/mol = 1.816 mol
Therefore, the amount (mol) of sucrose that reacted is 1.816 mol.