Question

Calculate the amount (mol) of sucrose that reacted.

Molar mass of sucrose = 342.3 g/mol

ΔT = 2.14 °C
qₐₜₑᵣ = 5.37 kJ
qₐₗ = 0.899 kJ

Answer 1

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.