Question

A 25.0 L gas cylinder at 32.0 is filled with 2.33 moles of carbon dioxide and 4.66 moles of nitrogen. Calculate the total pressure of the mixture. Then calculate the partial pressure of carbon dioxide in the cylinder

Answer 1

P= 7.01 atm

P(CO₂)= 2.34 atm

Step-by-step explanation:

Step 1: Convert the temperature to Kelvin

We will use the following expression.

K = °C + 273.15

K = 32.0°C + 273.15 = 305.2 K

Step 2: Calculate the total number of moles of the mixture

We will use the following expression.

n = nCO₂ + nN₂ = 2.33 mol + 4.66 mol = 6.99 mol

Step 3: Calculate the total pressure of the mixture

We will use the ideal gas equation.

P × V = n × R × T

P = n × R × T / V

P = 6.99 mol × 0.0821 atm.L/mol.K × 305.2 K / 25.0 L

P= 7.01 atm

Step 4: Calculate the partial pressure of carbon dioxide

We will use the ideal gas equation.

P(CO₂) × V = nCO₂ × R × T

P(CO₂) = nCO₂ × R × T / V

P(CO₂) = 2.33 mol × 0.0821 atm.L/mol.K × 305.2 K / 25.0 L

P(CO₂)= 2.34 atm