A particular coal contains 2.55% sulfur by mass. When the coal is burned, it produces SO2 emissions which combine with rainwater to produce sulfuric acid.
Determine how much sulfuric acid (in metric tons) is produced by the combustion of 1.1 metric ton of this coal. (A metric ton is 1000kg .)
A: ___ metric ton H2SO4
How do you set this up?
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chem - bobpursley, Monday, October 1, 2007 at 12:47pm
Determine the percent of S in sulfuric acid.
Then:
1.1ton/.0255 * 100/percentSinacid =
chem - DD, Monday, October 1, 2007 at 1:33pm
I tried this & the % of S in sulfuric acid = 32.7%.
However, when I worked 1.1ton/0.0255*11/0.327 I got:13191.82107. The question says to give to 2sig figs. I entered 1.3*10^4, but said that it was incorrect.
Any other suggestions...or did I just enter the numbers incorrectly?
chem - DD, Monday, October 1, 2007 at 1:36pm
tried this & the % of S in sulfuric acid = 32.7%.
However, when I worked 1.1ton/0.0255*100/0.327 I got:13191.82107. The question says to give to 2sig figs. I entered 1.3*10^4, but said that it was incorrect.
Any other suggestions...or did I just enter the numbers incorrectly?
6 answers
1.1 x 0.0255 x (98.079/32.066) = 0.08580 which rounds to 0.086 to two sig figures. Let me know how this works.
I would appreciate some help! Thanks!
First, you'll want to multiply the 1.2 metric tons of coal by the percent of sulfur (present in the coal) out of 100.
So: 1.2 metric tons of coal x (2.55/100) = 0.0306 metric tons of sulfur present in 1.2 metric tons of coal
Then, what you'll do with this number is multiply it by the molar mass ratio of sulfur present in sulfuric acid. But WAIT... you have to convert the units from grams to metric tons first.
So, take 32.066g (amount of sulfur present in 1 mole of sulfuric acid) and convert:
32.066g x (1kg/1000g) x (1 metric ton/1000kg) = 3.2066x10^-5 metric tons
Do the same for 98.086g (molar mass of sulfuric acid):
98.086g x (1kg/1000g) x (1 metric ton/1000kg) = 9.8086 x10^-5 metric tons
Now you can multiply the 0.0306 metric tons sulfur by the ratio...
0.0306 metric tons sulfur x (9.8086x10^-5 metric tons sulfuric acid / 3.2066x10^-5 metric tons sulfur) = 0.093601... metric tons sulfuric acid
The question asks for 2 significant figures so the final answer would be 0.094 or 9.4x10^-2 metric tons sulfuric acid
Hope this helped! :)