Find out Volume of #H_2#?

Find out the volume of #H_2# gas at STP when steam is passed over #5.6g# of hot iron.

1 Answer

#3.024# L

Explanation:

First we need to know the equation of the reaction undergoing.

#3Fe + 4H_2O(g) = Fe_3O_4 + 4H_2#

So, for 3 moles of red hot #Fe# reacting with 4 moles of steam, 4 moles of #H_2# gas is generated.

3 moles of #Fe# = #56 * 3# g = #168# g [Atomic weight of iron = 56]

4 moles of hydrogen = #4 * 2# g = #8# g

So, Using Unitary method,

#168# grams #Fe# #rarr# #8# g #H_2#

#1# gram #Fe# #rarr# #8/168# g #H_2#

#5.6# gram #Fe# #rarr# #(8 * 5.6)/168# g #H_2# #approx# #0.27# grams #H_2#

We know, 1 mole of Every gas at STP takes a volume of #22.4# L.

So, #2# g #H_2# #rarr# #22.4# L

#1# g #H_2# #rarr# #22.4/2# L

#0.27# g #H_2# #rarr# #11.2 * 0.27# L = #3.024# L

Hence Explained.