Question

a gas is at a pressure of 12.5psi and a volume of 750mL. What volume will the gas occupy at a pressure of 18psi?

Answer 1

520.8 mL

Step-by-step explanation:

We can solve this problem by using Boyle's Law, which states that:

"For a fixed mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

`p\propto (1)/(V)`

where

p is the pressure

V is the volume

We can rewrite the equation as

`p_1 V_1 = p_2 V_2`

where here:

`p_1=12.5 psi` is the initial pressure of the gas

`V_1=750 mL` is the initial volume

`p_2=18 psi` is the final pressure

And solving for V2, we find the final volume of the gas:

`V_2=(p_1 V_1)/(p_2)=((12.5)(750))/(18)=520.8 mL`