Question

A gas sample in a rigid container at 455 K is brought to STP (273K and 1 atm). What was the original pressure of the gas in mmHg?

Answer 1

`1266.67\ "mmHg"`

Explanation:

From Gay-Lussac's law

`color(white)(...)"P ∝ T"`

`"P"_1/"P"_2 = "T"_1/"T"_2`

`"P"_1 = "P"_2 × "T"_1/"T"_2`

`color(white)("P"_1) = "1 atm" × "455 K"/"273 K"`

`color(white)("P"_1) = 5/3\ "atm"`

`color(white)("P"_1) = 5/3 cancel"atm" × "760 mmHg"/(1 cancel"atm")`

`color(white)("P"_1) = 1266.67\ "mmHg"`