Chapter 10.2, Problem 29LC

Interpretation Introduction

Interpretation: Whether the three balloons having a volume of 22.4 L at STP that are filled with different gaseous compounds have same mass or same number of molecules or not should be determined.

Concept Introduction: A factor that uses one set of units to change it to another set of units is said to be a conversion factor.

Answer to Problem 29LC

The three balloons having a volume of 22.4 L at STP that are filled with different gaseous compounds does not have same mass but possess same number of molecules.

Explanation of Solution

The molar volume of any compound at STP is 22.4 L for 1 mol of the compound.

The relationship between a mole and number of molecules is:

  $1\text{ mol = 6}\text{.02}\times {10}^{23}\text{ molecules}$

At STP, the three balloons will contain $\text{6}\text{.02}\times {10}^{23}\text{ molecules}$ in 22.4 L as equal volumes of gases contain the same number of molecules at same conditions of temperature and pressure.

The masses in the three balloons will vary as they are filled with different gaseous compounds, so the atomic/molecular weight of each molecule is different from one another.

Hence, the three balloons having a volume of 22.4 L at STP that are filled with different gaseous compounds does not have same mass but possess same number of molecules.