A wine-dispensing system uses argon canisters to pressurize and preserve wine in

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 68.7 mL and contains 29.8 g of argon. Part A Assuming ideal gas behavior, what is the pressure in the canister at 320 K ? Express your answer with the appropriate units. p

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 1.15 atm and a temperature of 320 K ?

Express your answer as an integer.

Explanation / Answer

V = 68.7 ml = 0.0687 L , T = 320 K ,

Moles of argon = mass / Molar mass of argon = 29.8 g / 39.95 g/mol = 0.746

we use PV = nRT eq to find Pressure where R is gas constant = 0.08206 liter atm/molK

P x 0.0687 L = 0.746 mol x 0.08206 liter atm/molK x 320 K

P = 285 atm

2) P = 1.15 atm , V = 750 ml = 0.75 L , T = 320 K , n = moles of argon

we find n ,   1.15 atm x 0.75 L = n x 0.08206 liter atm/molK x 320 K

n = 0.032846 = argon moles needed per 1 bottle

we had argon moles = 0.746

Hence total number of bottles that can be filled = 0.746 /0.032846 = 23

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