Question

A gas at constant pressure occupies 0.400 L at 50.0°C. What volume will it have at 300.°C? If you could show work that would really be appreciated.

Answer 1

This can be solved using the Combined Gas Law. The formula for that is

`(P_(1) V_(1) )/(T_(1) ) = (P_(2) V_(2) )/(T_(2) )`

Let's go ahead and fill in our known values. Since pressure remains the same, it doesn't matter what number we use, so let's assume 1 atm on both sides. For temperature, remember to convert it to Kelvin first (K = C + 273).

`((1 atm) (0.400 L))/((323 K)) = ((1 atm) (x L))/((573 K))`

Go ahead and simplify both sides.

0.001238 =
`((x L))/((573 K))`

Multiply both sides by 573.

0.7095 = x L

So, at 300° C, your gas will occupy 0.7095 L.