[Single-digit Integer] A container with a volume of 20.0L holds (g) and (l) at 300 K. The pressure i β States of Matter and Gaseous State Chemistry Question
Question
[Single-digit Integer] A container with a volume of 20.0L holds $N_2$(g) and $H_2O$(l) at 300 K. The pressure is found to be 1.0 atm. The water is then split into hydrogen and oxygen by electrolysis. After the reaction is complete, the pressure is 1.86 atm. What mass (in g) of water was present initially in the container? The aqueous tension of water at 300 K is 0.04 atm. (R = 0.08 L-atm/K-mol)
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π‘ Solution & Explanation
$P_{N_2}=1.0-0.04=0.96$ atm (vapour pressure $H_2O$ at 300 K $\approx0.04$ atm). After electrolysis: $P_{produced}=1.86-0.96=0.90$ atm. $n_{produced}=\frac{0.90\times20}{0.08\times300}=0.75$ mol. $H_2O\to H_2+\tfrac{1}{2}O_2$: 1 mol water gives 1.5 mol gas. $n_{H_2O}=0.75/1.5=0.5$ mol. Mass $=0.5\times18=9$ g. Answer: $\boxed{9}$