A gas sample is attached to an open$-$ended mercury manometer, as shown below.

The difference in heights of the mercury in the manometer is $54\mathrm{.}2cm$ when the

atmospheric pressure is $0\mathrm{.}801$ atm. Given that the density of mercury is $13\mathrm{.}6\frac{g}{m}L,$

the pressure of the enclosed gas is

bar.

Write your answer as $3\mathrm{.}21$ bar $(3$ significant figures$)$