A patient receives 100. mL of 20.% (m/v) mannitol solution every hour.
b. How many grams of mannitol does the patient receive in 12 h?

Question

A patient receives 100. mL of 20.% (m/v) mannitol solution every hour.

b. How many grams of mannitol does the patient receive in 12 h?

Accepted Answer

Welcome back, everyone. A child drinks a glass of milk with a 0.1 31% calcium mass by volume percent daily. If the glass has a volume of 250 mL, how many grams of calcium does the child consume in five days? We're going to begin by recalling how mass by volume percent is defined in which we would relate this as equal to our mass of our solute or substance being dissolved. In this case, our solute is going to be calcium, which is dissolved in our milk, which is our solution as a whole or solvent. Now, going back to our formula for mass by volume percent. The mass of our cellu in grams is going to be to be divided by the total volume and milliliters of our solution. This quotient is then placed in parentheses and multiplied by 100% because we need to determine the mass of calcium, the child consumes in five days. We're going to need to isolate for our numerator. And in order to do so to simplify, we're going to multiply both sides by the total volume of our solution in milliliters. And then we're sorry, we're going to multiply both sides by the total volume in milliliters of our solution and divide both sides by 100%. So that will ensure that we can cancel out those terms on the right hand side of our equation. And then in our next slide, we would simplify so that we have our mass of our solute. In this case, calcium equal to our mass by volume percent multiplied by the volume of our solution in milliliters, which is then divided by 100%. So thus, plugging in our known values into our equation to calculate for the mass of our solute calcium. In this case, we would plug in our mass by volume percent given from our prompt as 0. 31%. However, we're going to interpret it in terms of grams per millis. Next, we would multiply by our volume of our milk given in the prompt as mL. And then next, we want to just divide our numerator by our unit 100 which we will not include the percentage sign. As. Now in our new meter, we're going to be able to cancel out our units of milliliters leaving us with grams as our unit in the new meter, which is what we want for mass. And we would simplify this quo in our calculators to get a result of 0.3275 g. So with this mass of our solute, we would say that our consumption or the child's consumption rather of calcium is equal to 0.3275 g per day. So to figure out the child's consumption in five days, in terms of mass, we're going to take our 0.3 to 75 g per day of calcium and multiply by the total of five days in which we would be able to cancel out the unit days leaving us with grams of calcium. So after five days, the child consumes a total mass of 1.64 g of calcium within the milk. And so our final answer is going to be 1.64 g of calcium consumed after five days from the child drinking milk. I hope that this made sense and let us know if you have any questions.

A patient receives 100. mL of 20.% (m/v) mannitol solution every hour.
b. How many grams of mannitol does the patient receive in 12 h?

Verified video answer for a similar problem:

Key Concepts

Mannitol Solution Concentration

Volume Administration Rate

Total Dose Calculation