0.15g of hydrogen chloride HCl is dissolved in water to make 8.0L of solution. What is the pH of the resulting hydrochloric acid solution?
First find the moles of HCl by dividing .15/36.45 and then once you find the moles divide that by the liters given which in this case is 8 and that will give you the molarity which you can plug into -log(H+) and that should give you 3.3 as the answer.
Well, I must say, that's quite a "basic" question you've got there! And by "basic," I mean it involves something with a pH less than 7, like hydrochloric acid. So, let's dive into it!
To find the pH of the hydrochloric acid solution, we need to look at the concentration of H+. The number of moles of hydrogen chloride can be calculated using the formula:
moles = mass / molar mass
The molar mass of HCl is approximately 36.5 g/mol. So, for 0.15 g of HCl, the number of moles would be:
0.15 g / 36.5 g/mol = 0.00411 mol
Now, we need to calculate the molarity of the hydrochloric acid solution. Molarity (M) is defined as moles of solute divided by liters of solution:
Molarity = Moles of solute / Volume of solution
We have 0.00411 mol of HCl in a solution with a volume of 8.0 L:
Molarity = 0.00411 mol / 8.0 L = 0.00051375 M
Finally, to find the pH, we can use the equation:
pH = -log[H+]
Since HCl is a strong acid, it completely dissociates in water, giving us the same concentration of H+. Therefore, the concentration of H+ is 0.00051375 M.
Using this concentration in the pH equation:
pH = -log(0.00051375) ≈ 3.29
So, the pH of the hydrochloric acid solution would be approximately 3.29. And with that, we've successfully "clowned" around with some chemistry!
To find the pH of the resulting hydrochloric acid solution, we need to calculate the concentration of HCl in the solution, and then use that concentration to determine the acidity of the solution.
1. Calculate the moles of HCl:
We can use the molar mass of HCl to convert the given mass (0.15g) to moles.
Molar mass of HCl = 1g/mol + 35.5g/mol = 36.5g/mol
Moles of HCl = Mass of HCl / Molar mass of HCl
= 0.15g / 36.5g/mol
= 0.00411 mol
2. Calculate the concentration of HCl:
Concentration = Moles / Volume
= 0.00411mol / 8.0L
= 0.000513 M
3. Calculate the pH:
The pH scale measures the concentration of hydrogen ions (H+) in a solution. Since HCl is a strong acid, it completely dissociates in water, forming one hydrogen ion (H+) for every HCl molecule. Thus, the pH of the acid solution is equal to the negative logarithm (base 10) of the hydrogen ion concentration.
pH = -log[H+]
= -log(0.000513)
≈ 3.29
Therefore, the pH of the resulting hydrochloric acid solution is approximately 3.29.
To find the pH of a hydrochloric acid solution, we need to use the concentration of HCl in the solution. In this case, we are given the mass of HCl (0.15g) and the volume of the solution (8.0L).
To calculate the concentration of HCl, we need to convert the mass of HCl to moles using its molar mass. The molar mass of HCl is the sum of the atomic masses of hydrogen (H) and chlorine (Cl), which is 1.007g/mol + 35.453g/mol = 36.46g/mol.
Moles of HCl = Mass of HCl / Molar Mass of HCl
= 0.15g / 36.46g/mol
≈ 0.004114 mol
Next, we divide the number of moles of HCl by the volume of the solution in liters to find the concentration in moles per liter (Molarity).
Concentration of HCl = Moles of HCl / Volume of Solution (in liters)
= 0.004114 mol / 8.0L
≈ 0.000514 M
Now that we have the concentration of HCl, we can find the pH of the solution by using the formula:
pH = -log[H+]
In this case, since HCl is a strong acid, it completely dissociates in water, so the concentration of hydrogen ions [H+] is equal to the concentration of HCl.
pH = -log(0.000514)
≈ 3.29
Therefore, the pH of the resulting hydrochloric acid solution is approximately 3.29.