Am I correct?

Deterioration of buildings, bridges, and other structures through the rusting of iron costs millions of dollars everyday. Although the actual process also requires water, a simplified equation (with rust shown as iron(III) oxide (Fe2O3) is:

4Fe(s)+3O2(g) --> 2Fe2O3(s)

delta(h reaction =-1.65 x 10^3

How much heat is evolved when 0.250 kg of iron rusts?.....KJ MOLES in SCIENTIFIC NOTATION .
How much rust forms when 9.40x 10^3 kJ of heat is released?..... SCIENTIFIC NOTATION ....

answer:
4Fe(s)+3O2(g) --> 2Fe2O3(s)

delta(h reaction = -1.65 x 10^3 kJ

A)How much heat is evolved when 0.250 kg of iron rusts?

Solution :- using the mole ratio of the balanced reaction we can calculate the amount of heat produced as follows.

(0.250 kg Fe*1000 g/ 1kg)*(1mol / 55.845 g)*(-1650 kJ / 4 mol Fe) = -1.85*10^3 kJ

Therefore it will give -1.85*10^3 kJ heat (sign is negative because its exothermic reaction)

So we can write it as amount of heat given = 1.85*10^3 kJ

B)How much rust forms when 9.40x 10^3 kJ of heat is released?

Solution :-

Using the mole ratio of the reaction we can calculate the amount of the rust formed as follows

(9.40*10^3 kJ * 2 mol Fe2O3/ 1.65*10^3 kJ)*(159.687 g / 1 mol Fe2O3) =1.82*10^3 g Fe2O3

Therefore it will give 1.82*10^3 g rust

1 answer

Both look ok to me.