Question

Question #43d81

Answer 1

`5.48 xx 10^5"mL"`

Explanation:

We'll be using the pressure-volume relationship of gases illustrated by Boyle's law:

`P_1V_1 = P_2V_2`

Solving for `V_2`:

`V_2 = (P_1V_1)/(P_2)`

We need to have consistent units for the pressure, so let's convert the `575"mm Hg"` to atmospheres:

`575cancel("mmHg")((1"atm")/(760cancel("mmHg"))) = 0.757"atm"`

Plugging in known variables, the final volume, in `"mL"`, is

`V_2 = ((0.757cancel("atm"))(1.00 xx 10^6 "mL"))/(1.38cancel("atm")) = color(red)(5.48 xx 10^5"mL"`