Chapter 16, Problem 115A

Interpretation Introduction

Interpretation: The volume occupied by $1500\text{ g}$ hydrogen gas at STP is to be calculated.

Concept Introduction: STP represents standard temperature and pressure. The standard temperature is $273.15K$ and the standard pressure is $1\text{ atm}$ .

Answer to Problem 115A

The volume of $1500\text{ g}$ hydrogen gas at STP is $1.7\times {10}^4\text{ L}$ .

Explanation of Solution

Given,

STP conditions,

Temperature is $273.15K$ .

Pressure is $1\text{ atm}$ .

The volume of 1 mole of hydrogen gas at STP is $22.4\text{ L}$

Molar mass of hydrogen gas is $2\text{ g/mol}$ .

Mass of hydrogen gas is $1500\text{ g}$ .

Volume of 2 g hydrogen gas is 22.4 L. Hence, the volume of $1500\text{ g}$ is calculated as follows:

  $\begin{array}{c}Volume=\frac{1500\text{ g}\times \text{22}\text{.4 L}}{2\text{ g}}\\ =1.68\times {10}^4\text{ L}\approx 1.7\times {10}^4\text{ L}\end{array}$

Conclusion

Thus, the volume of $1500\text{ g}$ hydrogen gas at STP is $1.7\times {10}^4\text{ L}$ .