Answer:
The equilibrium concentration of NO in the gas mixture should be 0.578 M
Step-by-step explanation:
We have equilibrium data for the chemical reaction in the gas phase:
SO2(g)+NO2(g)⇌NO(g) +SO3(g)
The equilibrium constant (Keq) for this reaction is 10.8.
Data for the components involved in this equilibrium are:
[SO3] = 1.7 M
[NO] = Unknown
[NO2] = 1.3 M
[SO2] = 0.07 M
We can express the Equilibrium constant as the multiplication of the concentrations of products divided by the multiplication of the concentration of reagents. After that, we can isolate [NO] concentration and find its value.
![Keq = ([NO][SO3])/([SO2][NO2])\\Keq *[SO2][NO2] = [NO][SO3]](https://img.qammunity.org/2019/formulas/chemistry/high-school/vpv9heqhlzz51wa3bx9xms8nkos5xzyia6.png)
![[NO] = Keq ([SO2][NO2])/([SO3])](https://img.qammunity.org/2019/formulas/chemistry/high-school/wd84akt4hedkl4jol6idcow6956yjn4320.png)
Replacing the values given in the problem
![[NO] = (10.8) ([0.07M][1.3M])/([1.7M]) = 0.578 M](https://img.qammunity.org/2019/formulas/chemistry/high-school/qi8mbk5s9g2jl9ztjh3v12cs9j0atr7ncj.png)
Finally, the equlibrium concentration is [NO] = 0.578 M