A gas occupies 175 mL at a pressure of 825 torr. What is the volume when the pressure is decreased to 415 torr?

1 Answer
Dec 2, 2014

Answer:

The new volume will be #"348 mL"#.

Explanation:

You will need to use Boyle's law to answer this question. Boyle's law states that when temperature is constant, the volume of a gas is inversely proportional to the pressure. This means that if the volume increases, the pressure decreases and vice versa. The equation for Boyle's law is:

#P_1V_1 = P_2V_2#.

Given:

#P_1 = "825 torr"#

#V_1 = "175 mL"#

#P_2 = "415 torr"#

Unknown:

#V_2#

Solution:

Isolate #V_2# by dividing both sides of the equation by #P_2#, then solve for #V_2#.

#V_2 = (P_1V_1)/P_2 =(825color(red)cancel(color(black)("torr"))xx175"mL")/(415color(red)cancel(color(black)("torr")))="348 mL"#