Answer
See the answer below.
Work Step by Step
$P=p(NO_2)+p(N_2O_4)\rightarrow, p(NO_2)=x, p(N_2O_4)=0.15-x$
$K_p=p(N_2O_4)/p(NO_2)^2$
$7.1=0.15-x/x^2$
$7.1x^2+x-0.15=0$
$x=0.091$
$p(NO_2)=0.091\ atm, p(N_2O_4)=0.059\ atm$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.