Answer: The concentration of nitrogen dioxide at equilibrium is 0.063 M
Step-by-step explanation:
We are given:
Initial concentration of nitrogen dioxide = 0.0250 M
Initial concentration of dinitrogen tetraoxide = 0.0250 M
For the given chemical equation:
![N_2O_4(g)\rightleftharpoons 2NO_2(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/1dm4ie0jy83ewl7scz8nilfriywy5dx47l.png)
Initial: 0.025 0.025
At eqllm: 0.025-x 0.025+2x
The expression of
for above equation follows:
![K_c=([NO_2]^2)/([N_2O_4])](https://img.qammunity.org/2021/formulas/chemistry/college/vkb4qh8uu2trux626hsyhcrfq5sgbbyvg6.png)
We are given:
![K_c=0.630](https://img.qammunity.org/2021/formulas/chemistry/college/fn9j1zdq4usyq61n5q24zj0w5qbrnmautf.png)
Putting values in above expression, we get:
![0.630=((0.025+2x)^2)/((0.025-x))\\\\x=-0.2013,0.019](https://img.qammunity.org/2021/formulas/chemistry/college/f2k6v5jjpbnc2kpumyy1t1x1nbktrg4tbo.png)
Neglecting the negative value of 'x', because concentration cannot be negative
So, equilibrium concentration of nitrogen dioxide = (0.025 + 2x) = [0.025 + 2(0.019)] = 0.063 M
Hence, the concentration of nitrogen dioxide at equilibrium is 0.063 M