Answer :
Final answer:
To determine the final pressure inside a container after lithium metal reacts with oxygen gas, one must use the ideal gas law, considering the initial conditions and the stoichiometry of the reaction. This involves calculating the moles of gas before and after the reaction and applying the law to find the new pressure in Torr.
Explanation:
The reaction of lithium metal with oxygen gas to form lithium oxide and the subsequent change in pressure of a gas within a container involves applying the principles of the ideal gas law. To find the final pressure of the system, one must consider the initial conditions (volume, temperature, and pressure), the amount of lithium reacting, and the new temperature after the reaction goes to completion. As the lithium reacts with oxygen to form lithium oxide, the number of moles of gas will change, affecting the pressure.
Initially, the pressure is 2.12 x 10³ Torr, and the temperature is 99.8 °C, which must be converted to Kelvin. After the reaction, the temperature rises to 168.1 °C (also to be converted to Kelvin). To calculate the final pressure, we need to know the number of moles of gas before and after the reaction, considering the stoichiometry of the reaction.
Upon completing the reaction, we can apply the ideal gas law to find the new pressure in the container. It's important to remember that temperature must be in Kelvin and that pressure is required in Torr. The ideal gas law is PV=nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.
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