Final answer:
The volume of sulfur dioxide gas at 45°C and 723 mmHg that will react completely with 0.870 L of oxygen gas is 0.0317 L.
Step-by-step explanation:
To solve this problem, we can use the ideal gas law equation:
PV = nRT
Where:
- P is the pressure of the gas
- V is the volume of the gas
- n is the number of moles of the gas
- R is the ideal gas constant
- T is the temperature of the gas
We know the volume of oxygen gas (0.870 L) and the temperature and pressure of sulfur dioxide gas (45°C and 723 mmHg). To find the volume of sulfur dioxide gas, we can rearrange the ideal gas law equation:
V1/V2 = P1/P2
Plugging in the values:
V2 = (0.870 L) x (723 mmHg/723 mmHg) x (45°C/273 K) = 0.0317 L
Therefore, the volume of sulfur dioxide gas is 0.0317 L.