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A chemistry graduate student is given 250. ml of a 1.30M methylamine (CH,NH,) solution. Methylamine is a weak base with K, CH, NH, Cl should the student dissolve in the CH, NH, solution to turn it into a buffer with pH = 11.01? You may assume that the volume of the solution doesn’t change when the CH, NH, Cl is dissolved in it. Be sure your answer has a unit symbol, and round it to 2 significant digits.

Answer:

Yes, the chemistry graduate student should dissolve 0.323 moles of CH,NH,Cl in the 1.30M methylamine (CH,NH,) solution in order to turn it into a buffer with pH = 11.01. This can be determined using the Henderson-Hasselbalch equation.

Supporting Subsections

Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation is used to calculate the pH of a buffer solution. It can be written as pH = pK_a + log([A^–]/[HA]).

Calculating the Desired Amount of CH,NH,Cl

In order to turn the 1.30M methylamine (CH,NH,) solution into a buffer with pH = 11.01, we need to calculate the amount of CH,NH,Cl that needs to be dissolved. This can be done by rearranging the Henderson-Hasselbalch equation to [A^–]/[HA] = 10^pH-pK_a. Plugging in the given information, we get [A^–]/[HA] = 10^{11.01 – 10.75} = 10^0.26. We can then calculate the amount of CH,NH,Cl needed by multiplying the [A^–]/[HA] ratio by the number of moles of CH,NH, in the solution (1.30 moles). This gives us 0.323 moles of CH,NH,Cl.

Volume of the Solution

Assuming the volume of the solution does not change when the CH,NH,Cl is added, we can calculate the total volume of the solution by adding the volume of the CH,NH,Cl to the original volume of the solution. This gives us 250.0 + 0.323 = 250.323 ml.

Final Answer

The final answer is that the chemistry graduate student should dissolve 0.323 moles of CH,NH,Cl in the 1.30M methylamine (CH,NH,) solution in order to turn it into a buffer with pH = 11.01. This will result in a total volume of 250.323 ml.

Related Questions

What is the Henderson-Hasselbalch equation?
How do you calculate the amount of CH,NH,Cl needed to turn a solution into a buffer?
What is the difference between a weak acid and a weak base?
What is the formula for calculating the pH of a buffer solution?
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What is the pH of a 1.30M methylamine (CH,NH,) solution?
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