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↳Redirected from "How do I change #int_0^1int_0^sqrt(1-x^2)int_sqrt(x^2+y^2)^sqrt(2-x^2-y^2)xydzdydx# to cylindrical or spherical coordinates?"

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Answer 1 · 2017-03-29T01:13:40

#"2 moles"#.

You have #"196 grams"# of #"H"_2"SO"_4#.

We can calculate the molar mass of sulfuric acid by looking at the periodic table.

#"H": "1 g" * "2" = color(red)"2 g"#
#"S": color(red)"32 g"#
#"O": "16 g" * "4"= color(red)"64 g"#
#------#
Total = #color(red)["98 g"#

This means for every #"1 mole"# of #"H"_2"SO"_4#, you have #"98 grams"# of it.

We can use a conversion factor to solve for number of moles in #"196 grams"# of #"H"_2"SO"_4#.

#color(white)(aaaaaaaaaaa)(196 cancel"g")/1 * ("1 mole")/(98 cancel"g") = color(orange)["2 moles H"_2"SO"_4#

Answer: 2 moles