Answer :
Final answer:
Approximately 25 750.0 ml wine bottles can be purged with the argon in the canister.
Explanation:
According to the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. By rearranging the equation, we can solve for the volume: V = (nRT) / P. Using the given values of pressure, temperature, and the volume of the wine bottle, we can calculate the number of wine bottles that can be purged:
V = (nRT) / P = (1 mol * 0.0821 L·atm/(mol·K) * 307 K) / 1.25 atm = 19.0336 L
Since each wine bottle has a volume of 0.75 L, we can divide the total volume by the volume of each wine bottle to find the number of wine bottles: 19.0336 L / 0.75 L = 25.3781 bottles. Therefore, approximately 25 750.0 ml wine bottles can be purged with the argon in the canister.
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