The question requires us to calculate the rate of change of NO, given that the rate of change of Cl2 is -0.0500 M/s.
The balanced chemical reaction provided is:
![2NO_{(g)_{}}+Cl_(2(g))\to2NOCl_((g))_{}](https://img.qammunity.org/2023/formulas/chemistry/college/26flvoh3k5rlknn5jrm03rx1fr15vreks9.png)
From the stochiometry of the reaction we can say that Δ[NO] = 2/1 Δ[Cl2], thus we can calculate the rate of change of NO as:
![\Delta\lbrack NO\rbrack=2\Delta\lbrack Cl_2\rbrack\to\Delta\lbrack NO\rbrack=2*(-0.0500M/s)=-0.100M/s](https://img.qammunity.org/2023/formulas/chemistry/college/ic89asa1s20d1fxmiu6r366uwsgj0m8grm.png)
Therefore, the rate of change of NO is -0.100 M/s.