Question

What was the initial pressure, in atmospheres, of the gas? A sample of Ar gas has a volume of 5.35 L with an unknown pressure. The gas has a volume of 8.17 L when the pressure is 3.82 atm , with no change in temperature or amount of gas.

Answer 1

Step-by-step explanation:

According to Boyle's law, the volume of gas sample at constant temperature is inversely proportional to the pressure.

P * V = constant

Pi * Vi = Pf * Vf

We know the final volume and pressure, the initial volume and we have to find the initial pressure. We can replace the given values and solve it for Pi to get the answer to our problem.

Pi = ?

Vi = 5.35 L

Pf = 3.82 atm

Vf = 8.17 L

Pi * Vi = Pf * Vf

Pi = Pf * Vf/Vi

Pi = 3.82 atm * 8.17 L/(5.35 L)

Pi = 5.83 atm

Answer: the initial pressure was 5.83 atm.