The ratio of HCO3- to H2CO3 in blood is called the 'bicarb number' and is used as a measure of blood pH in hospital emergency rooms. A newly diagnosed diabetic patient is admitted to the emergency room with ketoacidosis and a bicarb number of 10. Calculate the blood pH. Ka for carbonic acid at room temperature (37 degrees Celsius) os 7.9 x 10^-7).

Video transcript

Hello everyone today we are the fallen question. The ratio of hydrogen phosphate to die hydrogen phosphate in renal tubular and intracellular fluids is maintained at 1.55 by the body, the phosphate buffer system works in the internal fluids of all cells. Extra hydroxide and hydrogen ions that entered the extra cellular intracellular fluid are neutralized by this buffer, calculate the ph of the phosphate buffer system if the K. A. For di hydrogen phosphate at room temperature is 6.17 times 10 to the negative eighth. So first we want to make note of that ratio. So that ratio was we had hydrogen philosophy and that was to di hydrogen phosphate And that ratio was said to be 1.55. We also have the K. A. Here Which was 6.17 times 10 to the -8. And what we're gonna do is we're gonna apply the equations. The Henderson hostile back equation states that the ph is equal to the P. K. A. Plus the log of our conjugate base divided by the concentration of our acid. And so if we plug in our values here, we're gonna have the ph is equal to the P. K. Plus log of our hydrogen phosphate concentration divided by the concentration of our di hydrogen phosphate. We're gonna simplify this then that the ph is going to equal Negative Log of 6. times 10 to the -8. Because that is what the P. K. Is equal to right. P. K. Is equal to the negative log of the K. A. Value. And that's where we derive that from. Now. We're gonna add that to that log and then that 1.55 or the ratio. And when we do this we get at the Ph is equal to seven .40 as our final answer. Overall, I hope this helped, and until next time.