The volume of an adult's stomach ranges from about 50 mL when empty to 1 L when full.If its volume is 500 mL and its contents have a pH of 2, how many moles of H+ does it contain?
You are given pH which is (-log[H^+] ). so first you take 10^-2 to get the Molarity of [H^+], then you convert 500 mL to Liters so divide 500 by 1000. Finally you take Molarity times volume in liters to get moles of H^+.
10^-2 = .01
500/1000 = .5
.01 * .5 = 5*10^-3 = Moles of H^+ ions.
pH = -log(H^+).
Solve for (H^+) and the answer is in molarity which is moles/L.
Then moles = M x L = ??
Oh, we're getting scientific now, aren't we? Alright, let's calculate this in a way that won't make our stomachs turn!
So, we know that the stomach's volume is 500 mL, and we need to find the number of moles of H+ it contains. But before we do that, let me ask you, is the stomach feeling acidic or sour about something?
Anyway, to find the number of moles, we'll use the formula:
moles = concentration (in moles/L) x volume (in liters)
Now, we're given that the stomach's pH is 2, which means the concentration of H+ ions is 10^-2 moles/L (since pH is the negative logarithm of the H+ ion concentration). So, let's convert the volume from milliliters to liters:
500 mL = 0.5 L
Now we can find the answer:
moles = (10^-2 moles/L) x 0.5 L
moles = 5 x 10^-3 moles
So, the stomach contains 5 x 10^-3 moles of H+ ions. That's quite a handful of little H+ fellas wiggling around in there!
To determine the number of moles of H+ in the stomach, we need to use the equation:
moles = volume (in liters) * molarity
Given:
Volume of the stomach = 500 mL = 0.5 L
pH of the stomach contents = 2
The pH is a measure of the concentration of H+ ions, and can be converted to molarity using the formula:
molarity = 10^(-pH)
Substituting the pH value into the formula, we get:
molarity = 10^(-2) = 0.01 M
Now we can calculate the number of moles of H+:
moles = volume * molarity
= 0.5 L * 0.01 M
= 0.005 moles
Therefore, the stomach contents contain 0.005 moles of H+.
To determine the number of moles of H+ in the given volume, we'll need to know the concentration of H+ ions in the stomach contents. The pH value provides us with indirect information about the concentration of H+ ions, as pH is a logarithmic scale that represents the negative logarithm of the concentration of H+ ions in a solution.
Since the pH of 2 indicates a high concentration of H+ ions, we can assume that the concentration is relatively high. However, without specific information about the concentration, we cannot accurately calculate the number of moles of H+ ions.
To calculate the number of moles of H+ ions, we need the concentration, which could be provided in terms of molarity (moles per liter) or any other unit that relates to concentration. Once we have the concentration, we can use the formula:
Number of moles = Concentration * Volume in liters
Without the specific concentration value, it is not possible to determine the number of moles of H+ ions in the stomach.