The piperazine content of an impure commercial material can be determined by precipitating and weighing the diacetate:

(C2H4)2N2H2 + 2 CH3COOH → (C2H4)2N2H2(CH3COOH)2


In one experiment, 0.3126 gram of the sample was dissolved in 25 mL of acetone, and 1 mL of acetic acid was added. After 5 minutes, the precipitate was filtered, washed with acetone, dried at 110 °C and found to weigh 0.7121 gram. What is the weight percent of piperazine in the commercial material?

I know mass percent = (mass solute)/(mass solution) *100

But in this case, im am not knowing how to calculate the mass of solution
Please help !

You know mass ppt is 0.7121g and that is the piperazine diacetate (pipd). Calculate the molar mass of ppd. Then calculate the molar mass of the piperzine (pip). Convert 0.7121g pipd to g pip this way.

0.7121g x (molar mass pip/molar mass pipd)
Then mass% = (mass pip/mass sample)*100 and %pip = (mass pip/0.3126)*100 = ?

Well, it seems like this question is giving you a bit of a headache! But don't worry, I'm here to lighten the mood and help you out.

Let's break it down. You have 0.3126 grams of the impure commercial material dissolved in 25 mL of acetone. To calculate the mass of the solution, you need to consider the weight of the solute (impure commercial material) and the weight of the solvent (acetone).

Now, I could try to explain all the calculations step by step, but all these numbers and formulas can be quite boring. So instead, I'll offer you a humorous take on it:

To determine the mass of solution, you could imagine assembling all the molecules of solute and solvent together for a little party. But we can't forget that there's always that one molecule who brings the most weight to the party - Mr. Impure Commercial Material. He's a bit of a heavyweight!

So, to calculate the mass of the solution, we need to consider not just the weight of Mr. Impure Commercial Material but also the weight of the solvent, which is like the party host, constantly making sure everyone's having a good time.

Now, imagine those party molecules are dancing, spinning, and separating. And before they can shout, "Stop!" and settle down, we quickly filter them, wash them with acetone, and throw them into the oven to dry. Finally, we weigh them and find out that they collectively lost some weight because they were having such a good time dancing and partying!

So, to find out the weight percent of piperazine in the commercial material, you now have the weight of the filtered, washed, and dried particles. Calculate the mass of the precipitate (the filtered particles) and divide it by the mass of the initial impure commercial material. Multiply the result by 100, and there you have it— the weight percent of piperazine in the commercial material!

I hope my little dance party analogy made it a bit more enjoyable for you. Good luck with the calculations!

To solve this problem, you need to calculate the weight percent of piperazine in the commercial material using the given information.

Step 1: Calculate the mass of the precipitate:
Mass of precipitate = final mass - initial mass
Mass of precipitate = 0.7121 g - 0.3126 g
Mass of precipitate = 0.3995 g

Step 2: Calculate the moles of piperazine diacetate:
Moles of piperazine diacetate = (mass of precipitate) / (molar mass of piperazine diacetate)
The molar mass of piperazine diacetate [(C2H4)2N2H2(CH3COOH)2] can be calculated as follows:
C = 2 * 12.01 g/mol
H = 4 * 1.008 g/mol
N = 2 * 14.01 g/mol
O = 4 * 16.00 g/mol
Adding all the atomic masses, we get:
Molar mass of piperazine diacetate = (2 * 12.01 g/mol) + (8 * 1.008 g/mol) + (2 * 14.01 g/mol) + (4 * 16.00 g/mol) = 186.26 g/mol
Moles of piperazine diacetate = 0.3995 g / 186.26 g/mol

Step 3: Determine the moles of piperazine:
As per the balanced chemical equation, 1 mole of piperazine diacetate forms 1 mole of piperazine.
Moles of piperazine = Moles of piperazine diacetate * 1

Step 4: Calculate the weight percent of piperazine:
Weight percent of piperazine = (mass of piperazine / mass of commercial material) * 100
Mass of commercial material = initial mass = 0.3126 g
Weight percent of piperazine = (Moles of piperazine * molar mass of piperazine / Mass of commercial material) * 100

By substituting the values, you can calculate the weight percent of piperazine in the commercial material.

To calculate the weight percent of piperazine in the commercial material, we need to determine the mass of piperazine and the mass of the initial sample solution.

Step 1: Determine the mass of the piperazine diacetate precipitate:
Given that the precipitate weighed 0.7121 grams.

Step 2: Calculate the mole ratio between piperazine diacetate and piperazine:
From the balanced equation, we can see that 1 mole of piperazine diacetate is equivalent to 1 mole of piperazine.

Step 3: Calculate the moles of piperazine diacetate:
To calculate the moles, divide the mass of the piperazine diacetate precipitate by its molar mass. The molar mass of piperazine diacetate can be calculated by summing the molar masses of each element: C2H4N2(CH3COOH)2.

Step 4: Calculate the moles of piperazine:
Since the mole ratio of piperazine diacetate to piperazine is 1:1, the moles of piperazine will be the same as the moles of piperazine diacetate.

Step 5: Calculate the mass of piperazine:
Multiply the moles of piperazine by its molar mass. The molar mass of piperazine can be calculated using the atomic mass of each element: C4H10N2.

Step 6: Calculate the weight percent of piperazine:
Divide the mass of piperazine by the initial mass of the sample and multiply by 100 to get the weight percent.

Now let's perform the calculations.

Given:
Initial mass of sample = 0.3126 grams
Mass of piperazine diacetate precipitate = 0.7121 grams

Step 1:
Mass of piperazine diacetate precipitate = 0.7121 grams

Step 2:
Mole ratio of piperazine diacetate to piperazine = 1:1

Step 3:
Molar mass of piperazine diacetate = 2(12.01) + 4(1.01) + 2(14.01) + 2(12.01) + 4(1.01) + 2(16.00) = 186.24 g/mol

Moles of piperazine diacetate = Mass of piperazine diacetate / Molar mass of piperazine diacetate

Step 4:
Moles of piperazine = Moles of piperazine diacetate

Step 5:
Molar mass of piperazine = 4(12.01) + 10(1.01) + 2(14.01) = 110.19 g/mol

Mass of piperazine = Moles of piperazine * Molar mass of piperazine

Step 6:
Weight percent of piperazine = (Mass of piperazine / Initial mass of sample) * 100

Now you can plug in the values and calculate the weight percent of piperazine in the commercial material.