magnesium is a valuble metal used in alloys in batteries and in manufacture of chemicals it is obtaine mostly in sweater which is about 1.3g mg for every kilogram of sweater assume that the sweater has a density of 1.03g/ml calculate the volume of the sweater in liters to the exavt 8.0x10 to the power of 4 tons of mg give the answer to 3 sig figs
You need to do several things to help us help you.
1. Are you trying to spell sea water? I didn't know Mg could be obtained from sweaters. I wear sweaters when I'm cold.
2. 1.3gmg means what?
3. define exavt.
4. Start sentences with a capital letter and end them with periods or question marks; otherwise, we can't tell what is going on with all of the sentences running together.
mg is magnesium yes that's seawater sorry
exavt is supposed to be exact
Please note that mg is milligram while Mg is magnesium.
I think the word you want for exavt is extract; i.e., how much sea water must be used to extract 8 x 10^4 tons Mg from sea water.
Convert 8.0 x 10^4 tons to pounds and from there to grams. There are 2000 lbs in a ton and 453.6 grams in a lb. This will give you grams Mg needed.
Then use proportions to calculate grams sea water needed. Finally, convert g sea water to volume using mass = volume x density. Post your work if you get stuck.
ok so 8.0x10^4 = 80000 tons
80000 = 176 369 809.75 pound
=80 000 000 001 grams
m = vxd = 80000x1.03g/mg
80,000 tons x 2,000 lb/ton = 1.6 x 10^8 lbs
1.6 x 10^8 lbs x (453.6 g/lb) = 7.257 x 10^10 grams Mg.
Now use a proportion to convert grams Mg you need to g sea water.
Convert g sea water to volume using density.
72570000000g mg
To calculate the volume of the sweater, you will need to know the mass of the sweater. However, you have provided information about the mass of magnesium (Mg) in the sweater, not the mass of the sweater itself. Therefore, we need to find the total mass of the sweater.
You have mentioned that the sweater contains 1.3g of Mg for every 1kg of sweater. This means that for every kilogram of sweater, there is 1.3g of Mg.
To find the mass of the sweater, you need to convert the given amount of Mg (8.0x10^4 tons) into kilograms.
1 ton = 1000 kg
So, 8.0x10^4 tons = 8.0x10^4 x 1000 kg = 8.0x10^7 kg
Now that we have the mass of the sweater (8.0x10^7 kg), we can calculate the volume by using the density formula:
Density = Mass / Volume
Given density = 1.03g/ml and mass = 8.0x10^7 kg (converted to grams), we need to convert the density from g/ml to g/cm³ for consistency.
1 ml = 1 cm³
Therefore, the density remains the same when converted from g/ml to g/cm³.
Now we can substitute the values into the formula and solve for the volume:
Volume (in cm³) = Mass (in g) / Density (in g/cm³)
First, let's convert the mass of the sweater to grams:
8.0x10^7 kg = 8.0x10^7 x 1000 g = 8.0x10^10 g
Now substitute these values into the formula:
Volume (in cm³) = 8.0x10^10 g / 1.03 g/cm³
Calculating the volume:
Volume = 7.77x10^10 cm³
To convert the volume from cm³ to liters, divide by 1000:
Volume (in liters) = 7.77x10^10 cm³ / 1000 = 7.77x10^7 liters (rounded to 3 sig figs)
Therefore, the volume of the sweater is approximately 7.77x10^7 liters.