You fill a balloon with 2.50 moles of gas at 22°C at a pressure of 1.62 atm. What is the volume of the balloon?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given:
n = 2.50 moles
Temperature = 22°C or 293.15 K ( add 273.15)
Pressure = 1.62 atm
R (Ideal gas constant) = 8.31446261815324 J⋅K^−1⋅mol^−1
Find the volume.
Ideal Gas Law Formula:
PV = nRT
V = nRT/P
Solution:
Substitute the given values of n, R, T and P to the formula for the Volume.
V = nRT/P
V = ((2.50 mol)(8.31446261815324 J⋅K^−1⋅mol^−1)(293.15K))/1.62 atm
V = 3,761.4 L
Final answer:
V = 3,761.4 L