A Sample of Hydrogen Gas at STP

The Properties of Hydrogen Gas at STP

Hydrogen is a chemical element with the symbol H and atomic number 1. It is the lightest and most abundant element in the universe, primarily found in stars and gas giants. In its molecular form, hydrogen exists as H2 gas, which is colorless, odorless, and highly flammable. Hydrogen gas has various applications in industry, such as hydrogen fuel cells for producing electricity.

STP Conditions

STP stands for standard temperature and pressure, which is defined as a temperature of 0 degrees Celsius (273.15 Kelvin) and a pressure of 1 atmosphere (101.3 kPa). At STP, gases behave ideally and can be used to calculate their properties accurately.

Calculating the Moles of Hydrogen Gas

In the given scenario, a sample of hydrogen gas occupies 50.4 L at STP. To determine the number of moles of hydrogen atoms in the sample, we can use the ideal gas law equation:

PV = nRT

Where:

P = Pressure (1 atm)

V = Volume (50.4 L)

n = Number of moles

R = Ideal gas constant (0.0821 L.atm/mol.K)

T = Temperature (273.15 K)

Calculation

Using the ideal gas law equation, we can rearrange it to solve for the number of moles:

n = PV / RT

n = (1 atm * 50.4 L) / (0.0821 L.atm/mol.K * 273.15 K)

n = 4.5 moles

Conclusion

Therefore, the sample of hydrogen gas at STP contains approximately 4.5 moles of hydrogen atoms. This calculation helps us understand the amount of hydrogen present in the given volume under standard conditions.