Calcium citrate, Ca(C₆H₅O₇)₂(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for strong teeth and bones.
b. What mass of calcium citrate would be needed to provide the recommended daily intake of calcium?

Question

Calcium citrate, Ca(C₆H₅O₇)₂(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for strong teeth and bones.

b. What mass of calcium citrate would be needed to provide the recommended daily intake of calcium?

Accepted Answer

Welcome back everyone. A mineral supplement known as potassium citrate is used to treat or prevent low blood potassium levels, determine the mass of potassium citrate in milligrams that should be taken to provide the daily intake of potassium, which is 4700 mg. So we're going to begin with that given unit as a as our first conversion factor where we have 4700 milligrams of potassium. And we're going to need to multiply to go from milligrams of potassium in the denominator to grams of potassium in the numerator. Recall that our prefix milli tells us that we have for one mg in the denominator, an equivalent of 10 to the negative third of our base unit gram in the num. So canceling out milligrams of potassium, we are now at grams of potassium where we will now focus on multiplying to go from grams of potassium in the denominator to moles of potassium in the numerator. And at this step, we will refer to our periodic table where we would observe that for one mole of potassium, we have a mass of 39.983 g. So canceling out now, grams of potassium, we are now at moles of potassium. And our next multiplier is going to be going from moles of potassium in the denominator to then moles of potassium citrate in the num raider. And this is where we're going to need to refer to a molar ratio where using our chemical formula, we can observe that in the chemical formula of potassium citrate K three C six H 507, we have a subscript of three next to potassium. And so that means that in one mole of potassium citrate in our numerator, we have three moles of potassium in the denominator. So canceling out now, moles of potassium, we are at moles of potassium citrate. And so our next multiplier is going to be going from moles of potassium citrate in the denominator to then grams of potassium citrate in the numerator. And this is where we would then refer to our periodic tables for a second time to find the molar mass for one mole of potassium citrate where we would observe, we have a mass of 306.3 95 g per mole. And this is also given to us in our prompt. So now we can cancel out moles of potassium citrate. We are at grams. But that is not yet our final answer because we will need to multiply by our last factor, which is where we would go from grams of potassium citrate in the denominator two mg of potassium citrate as the prompt asks in the numerator. And so yet again, we would recall that our prefix Milly tells us that for one mg, we have an equivalent of 10 to the negative third of our base unit gram. So canceling out now, grams of potassium citrate, we are at our final factor which is milligrams of potassium citrate. And in our calculators, we would multiply our quotients and simplify so that we have a result of 12,000 277. mg of potassium citrate that should be taken daily to provide the recommended daily intake of potassium. So our final answer again is 12, 0.2 mg of potassium citrate. I hope that this made sense and let us know if you have any questions.

Calcium citrate, Ca(C₆H₅O₇)₂(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for strong teeth and bones.
b. What mass of calcium citrate would be needed to provide the recommended daily intake of calcium?

Verified video answer for a similar problem:

Key Concepts

Molar Mass Calculation

Calcium Daily Intake

Elemental Calcium Content

Calcium citrate, Ca(C6H5O7)2(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for strong teeth and bones. b. What mass of calcium citrate would be needed to provide the recommended daily intake of calcium?

Verified video answer for a similar problem:

Key Concepts

Molar Mass Calculation

Calcium Daily Intake

Elemental Calcium Content

Calcium citrate, Ca(C₆H₅O₇)₂(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for strong teeth and bones.
b. What mass of calcium citrate would be needed to provide the recommended daily intake of calcium?