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How can we determine the mass of titanium that reacts if 1.81 x 10³ kJ of heat is emitted by the reaction?

1. Given data: 1.81 x 10³ kJ of heat emitted by the reaction.

2. Final answer: To determine the mass of titanium that reacts, convert the given heat of reaction to joules, use the balanced chemical equation to find the moles of titanium, and multiply by its molar mass. The mass of titanium that reacts is approximately 2.206 x 10⁵ grams.

Answer:

To determine the mass of titanium that reacts, we need to use the concept of heat of reaction and stoichiometry. The first step is to convert the given heat of reaction (1.81 x 10³ kJ) to joules. Then, we can use the balanced chemical equation to determine the moles of titanium that react. Finally, we multiply the moles of titanium by its molar mass to find the mass. Let's go through the steps:

1. Convert 1.81 x 10³ kJ to joules: 1.81 x 10³ kJ x 1000 J/kJ = 1.81 x 10⁶ J

2. From the balanced chemical equation, determine the moles of titanium: 1.81 x 10⁶ J x (1 mol Ti / -393 kJ) = -4611.7 mol Ti

3. Finally, calculate the mass of titanium: -4611.7 mol Ti x (47.867 g/mol) = -2.206 x 10⁵ g

The mass of titanium that reacts is approximately 220,600 grams.

So, by following these steps, we can determine the mass of titanium that reacts when 1.81 x 10³ kJ of heat is emitted by the reaction. It's a fascinating journey into the world of chemistry!

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