To determine the amount of O₂ added to the gas mixture, we can use the mass analysis of O₂ and the given initial and final compositions.
Given:
Initial mass of gas mixture = 0.6 kg
Initial mole fraction of O₂ = 20% = 0.2
Final mole fraction of O₂ = 32% = 0.32
Let's assume the mass of O₂ added is m kg.
The initial mass of O₂ in the gas mixture is:
m_initial_O2 = 0.2 * 0.6 kg
The final mass of O₂ in the gas mixture is:
m_final_O2 = (0.2 * 0.6 + m) kg
Since the final mole fraction of O₂ is 0.32, we can write:
m_final_O2 / (0.6 + m) = 0.32
Solving the equation for m, we can find the amount of O₂ added in kg.
Alternatively, we can rearrange the equation and solve for m_final_O2 directly:
m_final_O2 = 0.32 * (0.6 + m) kg
By substituting the given values and solving the equation, we can determine the amount of O₂ added to the gas mixture in kg.