Answer:
0.25 moles
Step-by-step explanation:
To find the number of moles, you need to use a variation of the Ideal gas Law. The manipulated equation looks like this:
P₁ / n₁ = P₂ / n₂
In this formula, "P₁" and "n₁" represent the initial pressure and number of moles. "P₂" and "n₂" represent the final pressure and number of moles. You can find the final amount of moles by plugging the given values into the equation and simplifying.
P₁ = 10.0 atm P₂ = 2.5 atm
n₁ = 1 mole n₂ = ? moles
P₁ / n₁ = P₂ / n₂ <----- Equation
(10.0 atm) / (1 mole) = (2.5 atm) / n₂ <----- Insert values
10.0 = (2.5 atm) / n₂ <----- Divide 1 from 10.0
(10.0) x n₂ = 2.5 atm <----- Multiply both sides by n₂
n₂ = 0.25 <----- Divide both sides by 10.0