Question

A 7.60 L balloon contains 2.67 moles of oxygen gas. Some oxygen is released, so the only 1.78 moles of oxygen remain in the balloon. What is the new volume of the balloon?

Answer 1

V₂ = 5.07 L

Step-by-step explanation:

Given data:

Initial volume of balloon = 7.60 L

Initial number of moles of oxygen = 2.67 mol

Final number of moles of oxygen = 1.78 mol

Final volume of balloon = ?

Solution:

According to the Avogadro law,

Number of moles of gas and volume are directly proportional to each other at constant temperature and constant pressure.

Mathematical relationship:

V₁/n₁ = V₂/n₂

No we will put the values.

7.60 L / 2.67 mol = V₂/1.78 mol

V₂ = 7.60 L× 1.78 mol/ 2.67 mol

V₂ = 13.528 L. mol /2.67 mol

V₂ = 5.07 L