Question

Sulfur dioxide (SO₂ ) is a gas that is a polluant responsible for acid rain. It can be formed by the following reaction:

               H₂S _(g) + O_{2 (g)} ? SO_2(g) + H₂O_(g)   (unbalanced)

What volume of 4M H₂S , in L, is required to react with excess O₂ to produce enough SO₂ to fill a cylinder that is 58ft long and has a diameter of 14ft at a pressure of 551 torr and 24?C?

Answer 1

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Sulfur dioxide (SO₂ ) is a gas that is a polluant responsible for acid rain. It can be formed by the following reaction:

               H₂S _(g) + O_{2 (g)} %u2192 SO_2(g) + H₂O_(g)   (unbalanced)

What volume of 2M H₂S , in L, is required to react with excess O₂ to produce enough SO₂ to fill a cylinder that is 51ft long and has a diameter of 7ft at a pressure of 464 torr and 30%u02DAC?

Ideal gas law: PV=nRT

Pressure needs to be in atms: 464torr* 1atm/760torr = .6105atm

Volume of a cylinder:    \(\prod_{}^{}*r^{2}*h\approx3.14*3.5^{2}*51\)   

=1961.7 cubic feet * 28.32L/1 cubic ft = 55555.8L

R=.08206Latm/molK

T needs to be in Kelvin: 30C+273=303K

Solve for n: .6105atm*55555.8L=n*.08206Latm/molK*303K

n=1364.08mol

We know this how many moles we need, and we know molarity is mol/L, so use molarity to find L.

1364.08mol* 1L/2mol=682.04L H2S, or with two sig figs, 680L.