Question

A wine-dispensing system uses argon canisters to pressurize and preserve wine in the bottle. An argon canister for the system has a volume of 23.1 mL and contains 30.4 g of argon. Assuming ideal gas behavior, what is the pressure in the canister at 318 K? When the argon is released from the canister, it expands to fill the wine bottle. How many 750.0-mL wine bottles can be purged with the argon in the canister at a pressure of 1.26 atm and a temperature of 318 K?

A. Solve for pressure in the canister.

B. Solve for the number of wine bottles.

C. Solve for the volume of the canister.

D. Solve for the mass of argon.

Answer 1

To find the pressure in the argon canister, use the ideal gas law equation. To find the number of wine bottles that can be purged, divide the volume of argon by the volume of a wine bottle.

Step-by-step explanation:

A wine-dispensing system uses argon canisters to pressurize and preserve wine in the bottle. To find the pressure in the canister, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin. Rearranging the equation to solve for pressure, we get P = nRT/V. Plugging in the values, we have n = mass of argon / molar mass, V = volume of canister in liters, R = ideal gas constant (0.0821 L·atm/mol·K), and T = temperature in Kelvin. Once we have the pressure in the canister, we can find the number of wine bottles that can be purged using the same equation by rearranging it to solve for V (volume of wine bottles), dividing the total volume of argon by the volume of a wine bottle, and rounding the answer to the nearest whole number.