what is the volume of 7.25 g of oxygen gas at stp?

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12-10-2024

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What is the Volume of 7.25 g of Oxygen Gas at STP?

Understanding the relationship between mass, volume, and the ideal gas law is fundamental in chemistry. This article will guide you through calculating the volume of 7.25 grams of oxygen gas at Standard Temperature and Pressure (STP).

What is STP?

STP, or Standard Temperature and Pressure, is a set of conditions used for comparing gases. It is defined as:

• Temperature: 0°C (273.15 K)
• Pressure: 1 atm (101.325 kPa)

Key Concepts:

• Molar Mass: The mass of one mole of a substance. The molar mass of oxygen gas (O₂) is 32 g/mol.
• Ideal Gas Law: PV = nRT, where:
  • P = Pressure
  • V = Volume
  • n = Number of moles
  • R = Ideal gas constant (0.0821 L·atm/mol·K)
  • T = Temperature

Calculation:

1. Calculate the number of moles:

   • Divide the given mass by the molar mass: n = 7.25 g / 32 g/mol = 0.227 mol

2. Apply the Ideal Gas Law:

   • Rearrange the equation to solve for volume: V = nRT / P
   • Substitute the values: V = (0.227 mol) * (0.0821 L·atm/mol·K) * (273.15 K) / (1 atm)
   • Calculate the volume: V = 5.14 L

Therefore, the volume of 7.25 g of oxygen gas at STP is approximately 5.14 liters.

Additional Insights:

• This calculation assumes that oxygen behaves ideally at STP. Real gases may deviate slightly from ideal behavior, especially at high pressures.
• This calculation can be used for any gas as long as you know its molar mass and the conditions of temperature and pressure.

Further Exploration:

• For a deeper understanding of the ideal gas law and its applications, you can explore resources from reputable sources like Khan Academy and OpenStax College.
• You can investigate the behavior of real gases compared to ideal gases and learn about the different factors that affect their deviation from ideal behavior.
• Explore the history of the development of the ideal gas law and its contributions to our understanding of gases and their properties.

Let's Connect:

If you have any further questions or want to explore more complex applications of these concepts, feel free to ask! I'm always eager to share my knowledge and contribute to your learning journey.