Titanium reacts with iodine to form titanium(III) iodide, emitting heat, via the following reaction: 2Ti(s)+3I2(g)→2TiI3(s),ΔHorxn=−839kJ Part A Determine the mass of titanium that reacts if 1.56×103 kJ of heat is emitted by the reaction.

Respuesta :

Answer: 178 grams

Explanation:

The balanced chemical reaction is

[tex]2Ti(s)+3I_2(g)\rightarrow 2TI_3(s)[/tex]  [tex]\Delta H=-839kJ[/tex]

According to stoichiometry :

2 moles of titanium releases heat = -839 kJ

Thus if 839 kJ of heat is released by = 2 moles of titanium

[tex]1.56\times 10^3[/tex] kJ of heat is released by = [tex]\frac{2}{839}\times 1.56\times 10^3=3.72[/tex] moles of titanium

Mass of titanium used = [tex]moles\times {\text {molar mass}}=3.72mol\times 48g/mol=178g[/tex]

The mass of titanium that reacts if [tex]1.56\times 10^3[/tex] kJ of heat is emitted by the reaction is 178 grams

The mass of titanium that reacts if 1.56×103 kJ of heat is emitted by the reaction is 178 grams.

Calculation of the mass of titanium:

since 2 moles of titanium releases heat = -839 kJ

So,  in the case when 839 kJ of heat is released by = 2 moles of titanium

So,

For 1.56 *10^3 KJ should be released by

= 2/839*1.56*10^3

= 3.72

Now the mass is

= 3.72 * 48

= 178 grams

hence, The mass of titanium that reacts if 1.56×103 kJ of heat is emitted by the reaction is 178 grams.

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