Given the equilibrium constant values:
1.N2(g)+ 1/2O2(g)<---> N2O(g)
KC=2.7*10^{-18}
2.N2O4(g)<----> 2NO2(g)
KC= 4.6*10^{-3}
3. 1/2N2(g)+ O2(g)<----> NO2(g)
KC=4.1*10^{-9}
-----------------------------
2N2O(g)+ 3O2 (g) <----> 2N2O4(g)
I need help i dunt know what to do next Part:
1.2N2(g)+ O2(g)<---> 2N2O(g) (*2)
KC=5.4*10^{-18}
2.2NO2<----> N2O4(g)
KC= 1/4.6*10^{-3}
I know i flip the second equation so Kc is flipped over 1...and i multiplied the 1st equation by 2:
Now i don't know what to do i don't know how they got to the final equation.
I'm so very lost
Reverse 1.
Multiply 3 by 2.
Reverse 2.
Add the equations and you get 1/2 of the equation you want (if I didn't goof), then double that (and square the resulting K).
Teacher
To figure out the final equation, you need to use the concept of equilibrium manipulations and the mathematical operations for combining multiple equations to obtain the desired equation.
Starting with the given equilibrium equations:
1. N2(g) + 1/2O2(g) ⇌ N2O(g) (KC = 2.7*10^(-18))
2. N2O4(g) ⇌ 2NO2(g) (KC = 4.6*10^(-3))
3. 1/2N2(g) + O2(g) ⇌ NO2(g) (KC = 4.1*10^(-9))
You correctly multiplied the first equation by 2 to obtain:
1. 2N2(g) + O2(g) ⇌ 2N2O(g) (KC = 5.4*10^(-18))
Now, you need to manipulate the second equation:
2NO2 ⇌ N2O4 (KC = 4.6*10^(-3))
To flip the equation and change the sign of KC, you correctly wrote:
N2O4 ⇌ 2NO2 (KC = 1/4.6*10^(-3))
Now, to combine these two equations, you can add them together:
2N2(g) + O2(g) + N2O4(g) ⇌ 2N2O(g) + 2NO2(g) (Equation obtained by adding equations 1 and 2)
At this point, you can see that the left-hand side has 2N2O(g) and 2NO2(g), which indicates that you need to combine them to form N2O4(g) according to the given third equation. Since the third equation has half of N2(g) and one O2(g) per N2O4(g), you can use stoichiometry to write the equation as follows:
2N2(g) + O2(g) + N2O4(g) ⇌ 2N2O(g) + 2NO2(g)
Combine the 2N2O(g) and 2NO2(g)
2N2(g) + O2(g) + N2O4(g) ⇌ N2O4(g) + 2NO2(g) + 1/2N2(g) + O2(g)
Finally, you can simplify the equation by canceling out the terms that appear on both sides:
2N2(g) + O2(g) + N2O4(g) ⇌ 1/2N2(g) + O2(g) + N2O4(g) + 2NO2(g)
Simplifying further:
2N2(g) ⇌ 1/2N2(g) + 2NO2(g)
Therefore, the final equation is:
4N2(g) ⇌ NO2(g)
This equation represents the combination of the original equations, resulting in the desired overall equation.