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What volume (in ml) of 7.6 m hi would be required to make 500.0 ml of a solution with a ph of 3.20?

User SergioL
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Final answer:

Approximately 4.14 mL of 7.6 M HI is required to prepare 500 mL of solution with a pH of 3.20. The calculation is done by converting pH to hydrogen ion concentration and using the dilution formula to find the volume needed from the concentrated solution.

Step-by-step explanation:

To calculate the volume of a 7.6 M HI solution needed to make 500.0 mL of a solution with a pH of 3.20, we must first understand the relationship between pH and molarity. The pH is defined as the negative logarithm (base 10) of the hydrogen ion concentration ([H+]). A pH of 3.20 implies a hydrogen ion concentration of 10-3.20 M.

The required molarity (M) of the solution can be calculated using the formula: M = 10-pH, which for a pH of 3.20 gives: M = 10-3.20 M = 0.00631 M.

Using the dilution equation M1V1 = M2V2 where M1 is the molarity of the concentrated solution (7.6 M), V1 is the volume of the concentrated solution needed, M2 is the molarity of the diluted solution (0.00631 M), and V2 is the final volume of the diluted solution (500.0 mL or 0.500 L), we can solve for V1:

V1 = (M2 * V2) / M1

V1 = (0.00631 M * 0.500 L) / 7.6 M

V1 = 0.00414 L

Converting liters to milliliters: V1 = 0.00414 L * 1000 mL/L

V1 ≈ 4.14 mL

You would need approximately 4.14 mL of the 7.6 M HI solution to make 500.0 mL of a solution with a pH of 3.20.

User Ankakusu
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Final answer:

To find the volume of 7.6 M HI required to make a solution with a pH of 3.20, calculate the number of moles of H+ ions and use the molarity to find the volume.

Step-by-step explanation:

To find the volume of 7.6 M HI required to make 500.0 mL of a solution with a pH of 3.20, we need to calculate the number of moles of H+ ions in the solution. We can then use the molarity and moles to find the volume.

Calculate the number of moles of H+ ions using the equation pH = -log[H+].

Convert the moles of H+ ions to moles of HI using the balanced chemical equation for the dissociation of HI.

Finally, use the molarity and moles of HI to find the volume using the equation M = moles/V.

By following these steps, you can determine the volume of 7.6 M HI required to make the given solution.

User Crusy
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