Find the [H_3O^+] for each substance with the given pH. Write ans...

Question

Find the [H_3O^+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. See Example 2(b). beer, 4.8

Accepted Answer

Hey, everyone. Here we are asked to evaluate the hydro num ion concentration for orange juice using the given P H which is 3.7. Here we have four answer choice options, answer choices A through D, each of them stating the hydro num ion concentration in moles per liter. So our first step here is to recall the formula for P H which is that P H is equivalent to the negative log of our concentration. So now we just want to substitute in our given information. And here we are given the P H which is 3.7. So our equation is 3.7 is equal to the negative log of H sub 30. So now we just want to solve this equation for our concentration by first moving this negative sign from the right side to the left side of our equation. And we can do this by simply multiplying both sides of the equation by negative one. So with this, our equation becomes negative 3.7 is equal to the log of H sub 30. So now our next step in solving four hour concentration is to get rid of our logarithm. And to do this, we need to have 10 be raised to the power of the left side and the right side of the equation. So doing this, we have on the left, left side, 10 raised to the power of negative 3.7. And then this is equal to the right side which becomes 10 raised to the power of the log of each sub 30. And so now we see on the right side that the 10 and the logarithm cancel each other out. So we are left with H sub 30 or how our hydro num ion concentration is equivalent to raised to the power of negative 3.7. And now plugging in this value into our calculators, we see that the decimal approximation is 1.9952 multiplied by 10 raised to the power of negative four. And so from this, we can to the nearest tents. So we find that our approximated concentration value is 2.0 multiplied by 10 range to the power of negative four. And our units are moles per liter. And so with this value, we are left here with answer choice B where again, the hydro num ion concentration is two multiplied by 10 raised to the power of negative four in moles per liter. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find the [H_3O^+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. See Example 2(b). beer, 4.8

Key Concepts

pH Scale

Hydronium Ion Concentration

Scientific Notation

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