Final answer:
To calculate the partial pressure of each component in a gas mixture, calculate the mole fractions of each component using their masses and molar masses. Then use the mole fractions and the total pressure of the gas mixture to calculate the partial pressures using Dalton's Law of Partial Pressures.
Step-by-step explanation:
To calculate the partial pressure of each component in a gas mixture, we need to know the mole fractions of each component and the total pressure of the gas mixture. The mole fraction of a component is the ratio of the number of moles of that component to the total number of moles of all components in the mixture.
In this problem, the mole fractions can be calculated using the given masses of each component and their molar masses. Once we have the mole fractions, we can calculate the partial pressures using Dalton's Law of Partial Pressures.
Let's start by calculating the number of moles of methane (CH4) and ethane (C2H6) using their masses and molar masses:
Moles of CH4 = Mass of CH4 / Molar mass of CH4
Moles of C2H6 = Mass of C2H6 / Molar mass of C2H6
Next, we can calculate the mole fractions:
Mole fraction of CH4 = Moles of CH4 / Total moles of gas mixture
Mole fraction of C2H6 = Moles of C2H6 / Total moles of gas mixture
Finally, we can calculate the partial pressures:
Partial pressure of CH4 = Mole fraction of CH4 * Total pressure of gas mixture
Partial pressure of C2H6 = Mole fraction of C2H6 * Total pressure of gas mixture
Make sure to convert the temperature from Celsius to Kelvin before using any gas laws.