How Many Moles Of Oxygen Must Be Placed In A 3.00 Liter Container In Order To Exert A Pressure Of 2.00 Atmosphere At 30c

by ADMIN 121 views

**How Many Moles of Oxygen Must Be Placed in a 3.00 Liter Container in Order to Exert a Pressure of 2.00 Atmosphere at 30°C?**

Understanding the Problem

To solve this problem, we need to use the ideal gas law, which is given by the equation:

PV = nRT

Where:

  • P is the pressure of the gas in atmospheres (atm)
  • V is the volume of the gas in liters (L)
  • n is the number of moles of the gas
  • R is the gas constant, which is equal to 0.0821 L atm/mol K
  • T is the temperature of the gas in Kelvin (K)

Step 1: Convert the Temperature from Celsius to Kelvin

The temperature is given as 30°C, which needs to be converted to Kelvin.

T (K) = T (°C) + 273.15 T (K) = 30 + 273.15 T (K) = 303.15 K

Step 2: Plug in the Values into the Ideal Gas Law Equation

We are given the following values:

  • P = 2.00 atm
  • V = 3.00 L
  • T = 303.15 K

We need to find the value of n, which is the number of moles of oxygen.

PV = nRT (2.00 atm) (3.00 L) = n (0.0821 L atm/mol K) (303.15 K) 6.00 L atm = n (24.83 L atm/mol)

Step 3: Solve for n

To find the value of n, we need to divide both sides of the equation by 24.83 L atm/mol.

n = 6.00 L atm / 24.83 L atm/mol n = 0.241 mol

Conclusion

Therefore, in order to exert a pressure of 2.00 atmosphere at 30°C, we need to place 0.241 moles of oxygen in a 3.00 liter container.

Frequently Asked Questions

Q: What is the ideal gas law?

A: The ideal gas law is a mathematical equation that describes the behavior of ideal gases. It is given by the equation PV = nRT, where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the gas constant, and T is the temperature of the gas.

Q: What is the gas constant?

A: The gas constant, R, is a physical constant that is equal to 0.0821 L atm/mol K. It is used in the ideal gas law equation to relate the pressure, volume, and temperature of a gas.

Q: How do I convert temperature from Celsius to Kelvin?

A: To convert temperature from Celsius to Kelvin, you need to add 273.15 to the temperature in Celsius.

Q: What is the difference between moles and molecules?

A: Moles and molecules are related but distinct concepts. A mole is a unit of measurement that represents 6.022 x 10^23 particles (such as atoms or molecules). A molecule, on the other hand, is a group of atoms that are chemically bonded together.

Q: How do I calculate the number of moles of a gas?

A: To calculate the number of moles of a gas, you need to use the ideal gas law equation, PV = nRT, and solve for n.

Q: What is the significance of the ideal gas law?

A: The ideal gas law is a fundamental concept in chemistry that describes the behavior of ideal gases. It is used to calculate the pressure, volume, and temperature of a gas, and is a crucial tool in understanding the behavior of gases in various chemical reactions and processes.