Final answer:
Using the Ideal Gas Law, the volume of 0.682 moles of oxygen gas at 68.2 °C and 5.82 atm pressure is calculated to be 3.241 liters.
Step-by-step explanation:
To calculate the volume of the oxygen gas (O2), we can use the Ideal Gas Law, which is PV = nRT, where P is the pressure in atmospheres (atm), V is the volume in liters (L), n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin (K).
First, convert the temperature from Celsius to Kelvin by adding 273.15. Thus, T = 68.2 °C + 273.15 = 341.35 K.
Now we can use the Ideal Gas Law:
(5.82 atm) × V = (0.682 moles) × (0.0821 L·atm/K·mol) × (341.35 K).
To find the volume, V, rearrange the equation: V = (nRT) / P and compute V using the given values:
V = (0.682 moles × 0.0821 L·atm/K·mol × 341.35 K) / 5.82 atm = 3.241 L.
Therefore, the volume of the 0.682 moles of oxygen gas at 68.2 °C and 5.82 atm pressure is 3.241 liters.