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). soda pop, 2.7

Accepted Answer

Hey, everyone here we are asked to evaluate the hydro num ion concentration for yogurt using the given Ph which is 4.3. 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 to begin this problem, we first need to recall the formula for the Ph which is that Ph is equivalent to negative log of the hydro num ion concentration. So now we just want to substitute in our given information into this formula. So here we are given the value for Ph. So our equation is 4.3 is equal to the negative log of the hydro ion concentration. So now we just want to solve this equation for our concentration here. So we first just want to move this negative sign from the right side to the left side. And we can do this by simply multiplying both sides by negative one. So doing this, our equation becomes negative 4.3 is equal to log of H sub 30. So now we want to get rid of this logarithm and we can do this by writing our current equation in exponential form. So first, we need to note that the base of this logarithm is 10. And then we see that the left side is negative 4.3. So now just writing in exponential form, we have the base which is 10 raised to the power of the value, which is negative 4.3 is equal to our hydro num ion concentration. And so now the last step here, since we cannot simplify our expression any further, we just want to find the decimal approximation for this value rays to the power of negative 4.3. And we see that this value is approximately 5.0118 multiplied by 10 rays to the power of negative five. Now we just want to round to the nearest 10th place. And so we have our hydro num ion concentration is approximately 5.0 multiplied by 10 raised to the power of negative five moles per liter. And with this value that we found we are left here with answer choice. A where again the hydro num ion concentration is 5.0 multiplied by 10 range to the power of negative five in moles per liter. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Find the [H_3O^+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. See Example 2(b). soda pop, 2.7