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<u>Answer:</u> The value of
for the given reaction is 1.435
<u>Explanation:</u>
To calculate the molarity of solution, we use the equation:
![\text{Molarity of the solution}=\frac{\text{Mass of solute}}{\text{Molar mass of solute}\times \text{Volume of solution (in L)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMass%20of%20solute%7D%7D%7B%5Ctext%7BMolar%20mass%20of%20solute%7D%5Ctimes%20%5Ctext%7BVolume%20of%20solution%20%28in%20L%29%7D%7D)
Given mass of
= 9.2 g
Molar mass of
= 92 g/mol
Volume of solution = 0.50 L
Putting values in above equation, we get:
![\text{Molarity of solution}=\frac{9.2g}{92g/mol\times 0.50L}\\\\\text{Molarity of solution}=0.20M](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20solution%7D%3D%5Cfrac%7B9.2g%7D%7B92g%2Fmol%5Ctimes%200.50L%7D%5C%5C%5C%5C%5Ctext%7BMolarity%20of%20solution%7D%3D0.20M)
For the given chemical equation:
![N_2O_4(g)\rightleftharpoons 2NO_2(g)](https://tex.z-dn.net/?f=N_2O_4%28g%29%5Crightleftharpoons%202NO_2%28g%29)
<u>Initial:</u> 0.20
<u>At eqllm:</u> 0.20-x 2x
We are given:
Equilibrium concentration of
= 0.057
Evaluating the value of 'x'
![\Rightarrow (0.20-x)=0.057\\\\\Rightarrow x=0.143](https://tex.z-dn.net/?f=%5CRightarrow%20%280.20-x%29%3D0.057%5C%5C%5C%5C%5CRightarrow%20x%3D0.143)
The expression of
for above equation follows:
![K_c=\frac{[NO_2]^2}{[N_2O_4]}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BNO_2%5D%5E2%7D%7B%5BN_2O_4%5D%7D)
![[NO_2]_{eq}=2x=(2\times 0.143)=0.286M](https://tex.z-dn.net/?f=%5BNO_2%5D_%7Beq%7D%3D2x%3D%282%5Ctimes%200.143%29%3D0.286M)
![[N_2O_4]_{eq}=0.057M](https://tex.z-dn.net/?f=%5BN_2O_4%5D_%7Beq%7D%3D0.057M)
Putting values in above expression, we get:
![K_c=\frac{(0.286)^2}{0.143}\\\\K_c=1.435](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%280.286%29%5E2%7D%7B0.143%7D%5C%5C%5C%5CK_c%3D1.435)
Hence, the value of
for the given reaction is 1.435