depends on temperature
BUT
I suspect that there is liquid chlorine in the bottle. If so then the pressure remains at the vapor pressure of Chlorine until it is evaporated.
The N2 is all gas in there until you get down to liquid air temperature so it follows gas laws.
Explain Why the pressure of a gas in a nitrogen container falls continuously when the gas is continuously taken away while the pressure of a gas in a chlorine container remains constant until nearly all the gas is withdrawn
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