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

Question

Wyatt Adkins · Accepted Answer

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

Boyle's law, which states that a gas's volume is inversely proportional to its pressure when temperature is constant—that is, if the volume increases, the pressure decreases, and vice versa—must be used to provide an answer to this question. Boyle's law's equation is: #P_1V_1 = P_2V_2#. As stated: #P_1 = "825 torr"# #V_1 = "175 mL"# #P_2 = "415 torr"# Not sure: #V_2# Resolution: 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"#

Cooper Anderson · Answer

undefined Using Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is constant, we can use the formula:

$P_1 \times V_1 = P_2 \times V_2$

Given $P_1 = 825$ torr, $V_1 = 175$ mL, and $P_2 = 415$ torr, we can solve for $V_2$:

$825 \times 175 = 415 \times V_2$

$V_2 = \frac{825 \times 175}{415}$

$V_2 = 350$ mL