AP Chemistry
3.4 Ideal Gas Law
A student uses a pair of rigid bulbs connected by a tube of negligible volume. Initially, the stopcock between the bulbs is closed, and the conditions are shown in the table.
The student opens the stopcock, allowing the gases to fill both bulbs, and then uses a spark to initiate the reaction
\[ 2\text{H}_2\text{(g)}+\text{O}_2\text{(g)}\rightarrow 2\text{H}_2\text{O(g)} \]
After the reaction is complete, the entire apparatus is maintained at \(600\ \text{K}\). At this temperature, all the water remains gaseous. Assuming ideal behavior, which of the following gives the final total pressure, \(P_{\text{total}}\), and the final partial pressure of \(\text{O}_2\), \(P_{\text{O}_2}\)?
| Bulb | Volume | Gas | Initial pressure | Initial temperature |
|---|---|---|---|---|
| A | \(1.00\ \text{L}\) | \(\text{H}_2\text{(g)}\) | \(4.00\ \text{atm}\) | \(600\ \text{K}\) |
| B | \(2.00\ \text{L}\) | \(\text{O}_2\text{(g)}\) | \(1.00\ \text{atm}\) | \(300\ \text{K}\) |
The student opens the stopcock, allowing the gases to fill both bulbs, and then uses a spark to initiate the reaction
\[ 2\text{H}_2\text{(g)}+\text{O}_2\text{(g)}\rightarrow 2\text{H}_2\text{O(g)} \]
After the reaction is complete, the entire apparatus is maintained at \(600\ \text{K}\). At this temperature, all the water remains gaseous. Assuming ideal behavior, which of the following gives the final total pressure, \(P_{\text{total}}\), and the final partial pressure of \(\text{O}_2\), \(P_{\text{O}_2}\)?
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