A 1 L flask contains O2 at 1 atm and a 2 L flask contains N2 at 0.5 atm, both at 300 K. After the flasks are connected, the mole fraction of O2 in the mixture is

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A $1 L$ flask contains $O X_{2}$ at $1 atm$ and a $2 L$ flask contains $N X_{2}$ at $0.5 atm$ , both at $300 K$ . After the flasks are connected, the mole fraction of $O X_{2}$ in the mixture is

n \propto P V

at the same

T

O X_{2}

\propto 1 \times 1 = 1

N X_{2}

\propto 0.5 \times 2 = 1

. Equal moles, so

x_{O X_{2}} = 0.5