Reaction Stoichiometry with Gases

Q.
(a) The electroylsis of water produces hydrogen and oxygen gases as shown in the following equation 2H₂O to give 2H₂+ O₂ How many moles of water are reacted if 5.00ml of water is electrolyzed.
(b)If the gases produced from the 5.00ml of water are collected in a 5.00L flask at 22 degrees what will be the total pressure in the flask?
(c)What is the partial pressure of each gas?
A.
(a)
(5.00mL)(1.00 g/mL) = 5.00 g 2H₂O
(5.00g)(1 mol / 18.0g) = 0.28 moles 2H₂O
(b)
(0.28 mol 2H₂O)(3 mol gas / 2 mol H₂) = 0.417 moles of gas
PV=nRT
P = nRT/V
P = (0.417 mol)(0.0821L.atm./K.mol)(295K) / (5.0L) = 2.02 atm
(c)
P_(O2) = (1 mol O₂)/(3 mol gas)(2.02 atm) = 0.673 atm.
P_(H2) = (2 mol H₂)/(3 mol gas)2.02 atm) = 1.347 atm.
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