Theres this chemistry problem im getting stuck in because i'm confusing myself with the math.
Equation given = %O2 saturation = 100 x (pO2/(pO2 + K)
%O2 = 35
K = 1.51
how do I calculate pO2?? I can't seem to cancel them out correctly.
Answer = 0.813
35=(100*x)/(x+1.51)
35x+35*1.51=100x
65x=52.85
solve for x
Ahh I can't believe I didn't see that! I appreciate your help!
To calculate the value of pO2, you need to rearrange the equation and isolate pO2. Here's how you can solve it step-by-step:
1. Start with the given equation: %O2 saturation = 100 x (pO2/(pO2 + K))
2. Substitute the known values: %O2 = 35 and K = 1.51. The equation now becomes: 35 = 100 x (pO2/(pO2 + 1.51))
3. Divide both sides of the equation by 100 to get rid of the coefficient: 35/100 = pO2/(pO2 + 1.51)
4. Multiply both sides of the equation by (pO2 + 1.51) to eliminate the denominator: 35/100 * (pO2 + 1.51) = pO2
5. Distribute the 35/100 to the terms in the parentheses: (35/100) * pO2 + (35/100) * 1.51 = pO2
6. Simplify the equation: 0.35 * pO2 + 0.5295 = pO2
7. Bring all the terms with pO2 to one side of the equation: 0.35 * pO2 - pO2 = -0.5295
8. Combine like terms: -0.65 * pO2 = -0.5295
9. Divide both sides of the equation by -0.65 to solve for pO2: pO2 = -0.5295 / -0.65
10. Calculate the value of pO2: pO2 ≈ 0.813
Therefore, the value of pO2 is approximately 0.813.