at 1500 celcius the system 2NO<-->N2+O2

was allowed to come to equilibrium. the equilibrium concentrations were
NO=0.00035M
N2=0.040M
O2=0.040M
What is the value of Kc for the system at this temperature?

The answer they give is 1.3 x10^4

Im getting 2.2 x10^-1 i don't know what im doing wrong.

I tried several combinations to get your answer and couldn't do it so I don't know what you're doing wrong either. The correct way to do it is as follows:

Kc = (N2)(O2)/(NO)^2 =
*0.04)(0.04)/(0.00035)^2 = 13,061.22 which rounds to 1.3E4 to two significant figures.

THANKS

To calculate the value of Kc for the system at the given temperature, we need to use the equilibrium concentrations of the reactants and products.

The balanced equation for the reaction is:
2NO <--> N2 + O2

Using the given equilibrium concentrations:
[NO] = 0.00035 M
[N2] = 0.040 M
[O2] = 0.040 M

We can now calculate the equilibrium constant, Kc, using the equation:
Kc = ([N2] * [O2]) / ([NO]^2)

Substituting the given equilibrium concentrations into the equation:
Kc = (0.040 * 0.040) / (0.00035^2)
Kc = 0.0016 / 1.225 x 10^(-7)
Kc = 1.306 x 10^(4)

Therefore, the value of Kc for the system at this temperature is approximately 1.3 x 10^(4), which matches the answer given. It seems that you made a calculation error while evaluating the expression.

To calculate the value of Kc for the given system at 1500 degrees Celsius, we can make use of the equilibrium concentrations of the reactants and the products. The equilibrium constant, Kc, is determined by the ratio of the product concentrations to the reactant concentrations, each raised to the power of their respective stoichiometric coefficients.

The balanced equation for the given reaction is:
2NO <--> N2 + O2

Given equilibrium concentrations:
[NO] = 0.00035 M
[N2] = 0.040 M
[O2] = 0.040 M

Using these concentrations, we can calculate the value of Kc as follows:
Kc = ([N2] * [O2]) / ([NO]^2)

Substituting the given concentrations into the equation:
Kc = (0.040 * 0.040) / (0.00035^2)
Kc = 0.0016 / 0.000001225
Kc = 1.30612245

So, the value of Kc for the system at 1500 degrees Celsius is approximately 1.3.

It seems like you made a calculation error while performing the division. Double-check your calculations to ensure you obtain the correct value.