Consider the reaction: 2H2O (l) ----> 2h2 (g) + O2 (g)
What mass of H2O (MW=18.02) is required to form 1.4 L of O2 at a temperature of 30.0 degrees C and a pressure of 750 torr?
Lets 1st calculate the mol of O2 formed.
Given:
P = 750 torr
= (750/760) atm
= 0.9868 atm
V = 1.4 L
T = 30.0 oC
= (30.0+273) K
= 303 K
find number of moles using:
P * V = n*R*T
0.9868 atm * 1.4 L = n * 0.08206 atm.L/mol.K * 303 K
n = 5.557*10^-2 mol
From reaction,
Mol of H2O reacted = 2*mol of O2 formed
= 2*5.557*10^-2 mol
= 0.1111 mol
Molar mass of H2O,
MM = 2*MM(H) + 1*MM(O)
= 2*1.008 + 1*16.0
= 18.016 g/mol
use:
mass of H2O,
m = number of mol * molar mass
= 0.1111 mol * 18.02 g/mol
= 2.002 g
Answer: 2.00 g
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