# Problem: 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 59.6 mL and contains 30.1 g of argon.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 297 K ?

###### FREE Expert Solution

Calculate the initial to total pressure using the ideal gas equation:

$\overline{)\mathbf{PV}\mathbf{=}\mathbf{nRT}}$

molar mass Ar = 39.95 g

moles Ar = 0.7534 mol

P = 308.1 atm

Calculate the final pressure using Boyle's Law:

$\overline{){\mathbf{P}}_{\mathbf{1}}{\mathbf{V}}_{\mathbf{1}}\mathbf{=}{\mathbf{P}}_{\mathbf{2}}{\mathbf{V}}_{\mathbf{2}}}\phantom{\rule{0ex}{0ex}}$

P1 = 308.1 torr

V1 = 59.6 mL

P2 = 1.26 atm

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###### Problem Details

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 59.6 mL and contains 30.1 g of argon.

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 297 K ?