Water drips from a faucet into a flask at the rate of two drops every 3 seconds. A millimeter of water is 20 drops. What volume of water, in liters, will be collected in 2.5 hours?
Use dimensional analysis. You have the rate at which the water drops and you a set time figure out how to implement them in your calculation. And did you by any chance mean milliliter* not millimeter ?
To find the volume of water collected in 2.5 hours, we need to calculate the number of drops and then convert it to liters.
First, we need to determine how many drops of water are collected in 2.5 hours.
Given that two drops fall every 3 seconds, we can calculate the number of drops per hour:
2 drops / 3 seconds = (2 drops / 3 seconds) * (60 seconds / 1 minute) * (60 minutes / 1 hour) = 120 drops/hour
Next, we calculate the total number of drops collected in 2.5 hours:
Total drops = 2.5 hours * 120 drops/hour = 300 drops
Since 1 millimeter is equal to 20 drops, we can find the volume in millimeters:
Total volume in millimeters = 300 drops / 20 drops/millimeter = 15 millimeters
Finally, we can convert the volume from millimeters to liters. Since 1 millimeter is equal to 1 cubic centimeter (cc) and there are 1000 cc in 1 liter, we have:
Total volume in liters = 15 millimeters * 1 cc/millimeter * 1 liter/1000 cc = 0.015 liters
Therefore, the volume of water collected in 2.5 hours is 0.015 liters.