Question

You want to know how many moles of gas your lungs can hold. You start off with a balloon that has 1.4 moles of gas and occupies 22.4L. You then blow all the air from your lungs into the balloon. The balloon now occupies 28.4L. How many moles of gas did you blow into the balloon.
A) 1.775 moles
B) .0013 moles
C) 43.56 moles
D) 2,654 moles

Answer 1

Number of moles : n₂ = 1.775 moles

Further explanation

Given

Moles = n₁ = 1.4

Volume = V₁=22.4 L

V₂=28.4 L

Required

Moles-n₂

Solution

Avogadro's hypothesis, at the same temperature and pressure, the ratio of gas volume will be equal to the ratio of gas moles  

The ratio of gas volume will be equal to the ratio of gas moles

$\tt \dfrac{V_1}{V_2}=\dfrac{n_1}{n_2}$

Input the values :

n₂ = (V₂ x n₁)/V₁

n₂ = (28.4 x 1.4)/22.4

n₂ = 1.775 moles