Question

Calculate the concentration and number of protons in 1litre of milk when the pH is 5.30 at time 0hrs

Answer 1

To find the concentration of protons in a solution when given the pH, you can use the following formula:

\[
[H^+] = 10^{-\text{pH}}
\]

Where \([H^+]\) represents the concentration of protons (hydrogen ions) in moles per liter (M).

Given that the pH of the milk is 5.30:

\[
[H^+] = 10^{-5.30}
\]

Calculating that:

\[
[H^+] \approx 0.0005 \text{ M} \quad \text{(approximately)}
\]

Now, to find the total number of protons in 1 liter of milk, we use this concentration:

Since the concentration of protons is approximately 0.0005 moles/L, in 1 liter, the total number of moles of protons is simply:

\[
\text{Total moles of } H^+ = [H^+] \times \text{Volume}
\]

Given that the volume is 1 L:

\[
\text{Total moles of } H^+ = 0.0005 \text{ mol/L} \times 1 \text{ L} = 0.0005 \text{ mol}
\]

Finally, to find the number of protons (which is equal to the number of moles multiplied by Avogadro's number, \(6.022 \times 10^{23} \, \text{protons/mol}\)):

\[
\text{Total number of protons} = 0.0005 \text{ mol} \times 6.022 \times 10^{23} \, \text{protons/mol}
\]

Calculating that:

\[
\text{Total number of protons} \approx 0.0005 \times 6.022 \times 10^{23} \approx 3.011 \times 10^{20} \text{ protons}
\]

**Summary:**
- Concentration of protons: \([H^+] \approx 0.0005 \text{ M}\)
- Total number of protons in 1 litre of milk: \(\approx 3.011 \times 10^{20} \text{ protons}\)