Question

Titanium reacts with iodine to form titanium(III)iodide, emitting heat.
2Ti(s)+3I2(g)→2TiI3(s)ΔHorxn = -839 kJ

Determine the masses of titanium and iodine that react if 1.81×10³ kJ of heat is emitted by the reaction.

Express your answer to three significant figures and include the appropriate units.

Answer 1

Given,

delta H rxn = - 839 kJ

=> 839 kJ of heat is released per mole of reaction.

We can see that 2 moles of Ti and 3 moles of I2 is involved per mole of reaction

=> 839 kJ of heat is released when 2 moles of Ti and 3 moles of I2 reacts

=> 1 kJ energy is released when (2 / 839) moles of Ti and (3 / 839) moles of I2 react

=> 1810 kJ of heat is released when,

(2/839) x 1810 = 4.315 moles of Ti reacts

and (3 / 839) x 1810 = 6.472 moles of I2 reacts

Atomic Mass of Ti = 47.87 g / mol

Molar Mass of I2 = 253.8 g / mol

=> Mass of Ti = 4.315 x 47.87 = 206.56 g

and Mass of I2 = 6.472 x 253.8 = 1642.6 g