A patient receives 100ml of 24% (m/v) mannitol solution every hour
How many grams of mannitol does the patient receive in 25 hours?
Express your answer using two significant figures.
To calculate the number of grams of mannitol the patient receives in 25 hours, we can use the given concentration of the solution.
First, we need to determine the number of grams of mannitol in 100ml of the solution. The concentration is given as 24% (m/v), which means there are 24 grams of mannitol in 100ml of solution.
Next, we can multiply this amount by the number of hours the patient receives the solution. In this case, the patient receives 100ml every hour for 25 hours. So, the total amount of solution received by the patient is:
100ml/hour * 25 hours = 2500ml = 2500g (since 1ml of solution is equal to 1g)
Finally, we can calculate the number of grams of mannitol received by multiplying this amount by the concentration:
2500g * 24% = 2500g * 0.24 = 600g
Therefore, the patient receives 600 grams of mannitol in 25 hours.
To calculate the amount of mannitol the patient receives in 25 hours, we need to find the total volume of mannitol solution administered and then convert it to grams.
Given:
Volume of mannitol solution per hour = 100 ml
Mannitol concentration = 24% (m/v)
Step 1: Calculate the total volume of mannitol solution administered in 25 hours.
Total volume = volume per hour x number of hours
Total volume = 100 ml/hour x 25 hours
Total volume = 2500 ml
Step 2: Convert the total volume of solution to grams of mannitol.
To do this, we need to multiply the total volume by the concentration of mannitol in the solution.
Amount of mannitol = Total volume x concentration
Amount of mannitol = 2500 ml x 24% (m/v)
Step 3: Convert the concentration to a decimal form.
24% = 24/100 = 0.24
Amount of mannitol = 2500 ml x 0.24
Amount of mannitol = 600 grams
Therefore, the patient receives 600 grams of mannitol in 25 hours, rounded to two significant figures.
To find how many grams of mannitol the patient receives in 25 hours, we can start by determining the grams of mannitol in one milliliter of the 24% (m/v) mannitol solution.
To convert the percentage concentration to grams per milliliter (g/mL), we multiply the percentage concentration by the density of the solution. The density of the solution is not given, so we'll assume it's 1 g/mL, which is often the case for water-based solutions.
Converting the 24% (m/v) mannitol solution to grams per milliliter:
24% (m/v) = 24 g per 100 mL = 0.24 g per 1 mL
Next, we can find how many grams of mannitol the patient receives in one hour:
100 mL per hour * 0.24 g/mL = 24 g per hour
Now, we can determine the grams of mannitol the patient receives in 25 hours:
24 g per hour * 25 hours = 600 g
Therefore, the patient receives 600 grams of mannitol in 25 hours.
Expressing the answer with two significant figures, the patient receives 600 grams of mannitol.