Question #43d81

1 Answer
May 23, 2017

Answer:

#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"#