5.3.2 Molar Volume of Gases

• The molar volume of a gas is the volume occupied by one mole
• At STP, the molar volume of any ideal gas is approximately 22.4 dm³/mol.
• Match the condition with its molar volume:

  STP ↔️ 22.4 dm³/mol

  RTP ↔️ 24 dm³/mol
• Why is molar volume important in chemical calculations?

  Converts moles to volumes
• At RTP, the molar volume of any ideal gas is approximately 24
• The pressure at STP is 1 atm, which is equivalent to 101.3 kPa.
• What is the molar volume of an ideal gas at STP in dm³/mol?

  22.4 dm³/mol
• STP is defined as0 °C and 1 atm pressure.
• What is the temperature in Kelvin at RTP?

  298 K
• Match the condition with its temperature and pressure:

  STP ↔️ 0 °C and 1 atm

  RTP ↔️ 25 °C and 1 atm
• The molar volume of a gas at RTP is about 24 dm³/mol.
• At STP, the molar volume of a gas is approximately 24 dm³/mol.

  False
• What is the molar volume of a gas defined as?

  Volume of one mole
• At standard temperature and pressure (STP), the molar volume of any ideal gas is approximately 22.4 dm³/mol.
• At room temperature and pressure (RTP), the molar volume of an ideal gas is about 24 dm³/mol.
• Steps to calculate the volume of a gas using molar volume:

  1️⃣ Identify the number of moles

  2️⃣ Determine the molar volume at the given conditions

  3️⃣ Use the formula: Volume = Moles × Molar Volume

  4️⃣ Include units in the final answer
• What is the ideal gas equation?

  $PV =$$nRT$
• In the ideal gas equation, the value of the ideal gas constant (R) is 8.314 J/(mol·K).
• Molar volume (Vm) is directly proportional to temperature at constant pressure.
• Match the parameter with its formula relationship:

  Pressure (P) ↔️ Vm is inversely proportional to P

  Temperature (T) ↔️ Vm is directly proportional to T

  Ideal Gas Constant (R) ↔️ Constant in the equation

  Molar Volume (Vm) ↔️ Derived from ideal gas equation
• What is the molar volume of an ideal gas at STP?

  22.4 dm³/mol
• What does STP stand for in chemistry?

  Standard temperature and pressure
• STP is defined as 0 °C and 1 atm.
• What is the temperature in Kelvin at STP?

  273 K
• The pressure at STP is 101.3 kPa.
• What does RTP stand for in chemistry?

  Room temperature and pressure
• RTP is defined as 25 °C and 1 atm.
• What is the temperature in Kelvin at RTP?

  298 K
• The pressure at RTP is 1 atm.
• What is the molar volume of a gas at STP?

  22.4 dm³/mol
• The molar volume of a gas at RTP is approximately 24 dm³/mol.
• What is the formula to calculate the volume of a gas using molar volume?

  V = n × Vm
• What is the ideal gas equation?

  PV = nRT
• The value of the ideal gas constant R is 8.314 J/(mol·K), and the units for pressure P are Pa or atm.
• How is molar volume related to the ideal gas equation?

  PVm = RT
• Higher pressures decrease molar volume.
• What is the molar volume of a gas at 298 K and 1 atm, as calculated using the ideal gas equation?

  0.0245 m³/mol
• Steps to solve molar volume problems involving moles to volume conversion

  1️⃣ Identify the number of moles (n) and molar volume (Vm) at given conditions

  2️⃣ Use the formula V = n × Vm

  3️⃣ Include units in the final answer
• Steps to solve molar volume problems involving volume to moles conversion

  1️⃣ Identify the volume (V) and molar volume (Vm) at given conditions

  2️⃣ Use the formula n = V / Vm

  3️⃣ Include units in the final answer