The concentration of hydrogen ions in a batch of homemade ketchup is 10-4,. What is the pH level of the ketchup?
If 10^-4 is the molarity, the pH is 4.0
Answer is 4
The pH level of a solution can be determined using the formula: pH = -log[H+], where [H+] represents the concentration of hydrogen ions in moles per liter.
In this case, the concentration of hydrogen ions is 10^-4, so substituting this value into the formula:
pH = -log(10^-4)
To simplify, we can rewrite the expression as:
pH = -log(1 x 10^-4)
Using the logarithmic rule log(a x b) = log(a) + log(b):
pH = - (log(1) + log(10^-4))
Since log(1) is equal to 0:
pH = - (0 + log(10^-4))
Log(10^-4) can be written as -4log(10):
pH = - (0 + (-4log(10)))
Since log(10) is equal to 1:
pH = - (0 + (-4 x 1))
pH = - (0 - 4)
To subtract, change the subtraction to addition and change the sign of the number being subtracted:
pH = - (0 + 4)
pH = -4
Therefore, the pH level of the homemade ketchup is 4.
To find the pH level of a substance, you need to calculate the negative logarithm (base 10) of the concentration of hydrogen ions. In this case, the concentration of hydrogen ions in the homemade ketchup is 10^-4.
Step 1: Determine the negative logarithm.
pH = -log[H+]
Step 2: Substitute the concentration of hydrogen ions into the equation.
pH = -log(10^-4)
Step 3: Simplify the equation.
pH = -(-4)
pH = 4
Therefore, the pH level of the homemade ketchup is 4.