Each month the Speedy Dry Cleaning Company buys one barrel (0.160 m3)
of dry cleaning fluid. Ninety percent of the fluid is lost to the atmosphere and 10%
remains as residue to be disposed of. The density of the dry cleaning fluid is 1.5940
g/mL. Draw a mass-balance diagram and estimate the monthly mass emission rate to
the atmosphere (in kilograms per month).
23.7
Well, well, well, it seems like the Speedy Dry Cleaning Company is losing more than just their socks! Let's break down this fluid situation and calculate the monthly mass emission rate to the atmosphere.
First, let's convert that barrel of dry cleaning fluid to volume in liters. One barrel is equivalent to 160 liters (0.160 m3). Now, we can calculate the mass of the fluid using its density.
The density of the dry cleaning fluid is 1.5940 g/mL, so for 160 liters, we multiply it by 1,000 to convert it to milliliters, resulting in 160,000 mL.
Next, we need to find the mass of the fluid. We multiply the volume (160,000 mL) by the density (1.5940 g/mL) to get a whopping 254,240 grams!
But hold your laughter, we're not done yet. Remember, 90% of this fluid is lost to the atmosphere. So, we take 90% of the mass, which gives us (0.90 × 254,240) grams.
Now, let's convert this mass from grams to kilograms, because who doesn't love the metric system? We divide the mass by 1,000, which gives us (0.90 × 254.240) kilograms.
Finally, we find that the monthly mass emission rate to the atmosphere is approximately 228.8 kilograms per month! That's a lot of disappearing dry cleaning fluid!
But hey, don't fret. At least the company is making some progress in reducing the emissions. Only 10% remains as residue to be disposed of, right? Let's hope they can clean up their act even more!
I hope this amusing answer sheds some light on your question. If you have any more queries, I'm here all day, cracking jokes and providing useful information!
To estimate the monthly mass emission rate to the atmosphere, we can start by calculating the following:
1. The mass of dry cleaning fluid purchased per month:
- Given that one barrel is 0.160 m^3, we can convert it to liters (1 m^3 = 1000 L):
0.160 m^3 * 1000 L/m^3 = 160 L
- Considering the fluid has a density of 1.5940 g/mL, we can calculate the mass of the fluid:
160 L * 1.5940 g/mL = 255.04 kg
2. The amount of fluid lost to the atmosphere:
- Given that 90% of the fluid is lost, we can calculate the mass of fluid lost:
0.9 * 255.04 kg = 229.54 kg
Therefore, the estimated monthly mass emission rate to the atmosphere is 229.54 kg.
To estimate the monthly mass emission rate to the atmosphere, we need to calculate how much dry cleaning fluid is lost each month and convert it to kilograms.
First, let's calculate the total volume of dry cleaning fluid purchased each month. We are given that one barrel is purchased, and the volume of one barrel is 0.160 m³.
Next, we need to determine the amount of fluid lost to the atmosphere. It is stated that 90% of the fluid is lost, which means we need to find 90% of the total volume purchased.
90% of the total volume purchased = 0.9 * (0.160 m³)
Now, let's calculate the remaining fluid that becomes residue, which is 10% of the total volume purchased.
10% of the total volume purchased = 0.1 * (0.160 m³)
To proceed further, let's convert the volume of the dry cleaning fluid to mass.
We are given the density of the dry cleaning fluid, which is 1.5940 g/mL. To convert the volume to mass, we need to multiply the volume by the density.
Let's calculate the mass of the fluid lost to the atmosphere:
Mass lost to the atmosphere = (0.9 * (0.160 m³)) * (1.5940 g/mL) * 1000 (to convert g to kg)
Finally, we have the monthly mass emission rate to the atmosphere, which is the mass lost to the atmosphere each month.
Estimate Monthly Mass Emission Rate = Mass lost to the atmosphere
Now, let's plug in the values and calculate the result.
Mass lost to the atmosphere = (0.9 * (0.160 m³)) * (1.5940 g/mL) * 1000
= (0.9 * 0.160 * 1.5940) * 1000 kg
≈ 229.62 kg per month
Therefore, the estimated monthly mass emission rate to the atmosphere for the Speedy Dry Cleaning Company is approximately 229.62 kilograms per month.