Inside a sealed reaction vessel, the total pressure of a non-reacting gaseous mixture containing , , — States of Matter and Gaseous State Chemistry Question

Question

Inside a sealed $10\text{ L}$ reaction vessel, the total pressure of a non-reacting gaseous mixture containing $H_2$, $N_2$, and $CO_2$ is measured to be $9.8\text{ atm}$. If the partial pressures of $H_2$ and $N_2$ are precisely determined to be $3.7\text{ atm}$ and $4.2\text{ atm}$ respectively, calculate the partial pressure of $CO_2$ (in $\text{atm}$) and multiply the result by $10$.