Answer:
[tex]P_{N_2}=1.0atm[/tex]
Explanation:
Hello,
Considering the Dalton's law which states that the total pressure of a gaseous system is defined by the summation of the the partial pressures of the present gases:
[tex]P_T=\Sigma P_i[/tex]
For the given system:
[tex]P_T=P_{H_2}+P_{N_2}+P_{CH_4}[/tex]
Solving for the partial pressure of nitrogen we obtain:
[tex]P_{N_2}=3.0atm-0.5atm-1.5atm=1.0atm[/tex]
Best regards.