J.R. S. answered 05/02/20
Ph.D. University Professor with 10+ years Tutoring Experience
From the first 2 tests, you can see that it is 1st order with respect to PNO2. You can tell this because when you halve the pressure of NO2, you also halve the rate.
From the first and third tests, you can see that it is also 1st order with respect to PF2. Again, because when you reduce the pressure of F2 by 1/4, you also reduce the rate by 1/4.
The rate equation is
rate = k(NO2)(F2) where parentheses ( ) indicate pressure