A vessel is filled with a mixture of oxygen and nitrogen. At what ratio of partial pressures will the mass of gases be identical?

Options

A. `P(O_(2))=0.785P(N_(2))`
B. `P(O_(2))=8.75P(N_(2))`
C. `P(O_(2))=11.4P(N_(2))`
D. `P(O_(2))=0.875P(N_(2))`

Explanation

To solve the problem of finding the ratio of partial pressures at which the mass of a mixture of oxygen (O₂) and nitrogen (N₂) gases will be identical, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ideal Gas Law**:
The ideal gas equation is given by:
\[
PV = nRT
...