How many grams of Fe is needed to make 8 g of FeO3.

I was given Fe + H2O ---> H2 + FeO3.
I balanced it: 2Fe +3H2O -----> 3H2 +Fe2O3.
divided 8 by 160 (sum of parts of Fe2O3 got .05
multiplied .05 times 2 because ratio was 2:1 and got 0.1
multiplied 0.1 times 56 (value of Fe) and the answer was 5.69. Is this correct procedure?

The procedure looks ok to me although I would have used more significant figures than 160 and 56; especially if I intended to report the answer to three significant figures. (You only have 1 place in the 8 g.) I also note that the question uses FeO3 but the equation uses Fe2O3.

Yes, the procedure you used to calculate the amount of Fe required is correct.

You started by balancing the chemical equation, which is an important step. The balanced equation you provided, 2Fe + 3H2O → 3H2 + Fe2O3, shows the stoichiometric relationship between Fe and Fe2O3.

Next, you divided the mass of Fe2O3 (8 g) by the molar mass of Fe2O3 (160 g/mol) to find the number of moles of Fe2O3. This step is necessary because the balanced equation provides a ratio of moles, not grams.

Dividing 8 g by 160 g/mol gives you 0.05 mol of Fe2O3.

Since the ratio of Fe to Fe2O3 in the balanced equation is 2:1, you multiplied the number of moles of Fe2O3 by 2 to find the number of moles of Fe required. 0.05 mol of Fe2O3 multiplied by 2 gives you 0.1 mol of Fe.

Finally, you multiplied the number of moles of Fe by the molar mass of Fe (56 g/mol) to find the mass of Fe required. 0.1 mol of Fe multiplied by 56 g/mol gives you 5.6 g of Fe.

It appears you rounded the final answer to two decimal places, resulting in 5.69 g. However, it's important to note that if you are reporting your answer to three significant figures (as indicated by the given 8 g with only 1 decimal place), then the correct answer would be 5.6 g of Fe.

Also, as a side note, please be aware that the question initially asks for grams of Fe needed for FeO3, but the balanced equation actually shows Fe2O3. If the question is referring to Fe2O3, then your answer is correct. If it is referring to FeO3, then you would need to adjust the balanced equation accordingly and redo the calculations.