Calculate density?

Question

1) the density of a gold is 19.32 g/mL. if sample has a volume of 48.9 L, wut's the mass?

2) find the volume in dm^3 of a sample aluminum if density is 2.699 g/mL n mass is 26 g.

please walk me through both or at least both questions. ur help is greatly appreciated!!

Answer 1

Density, expressed in g/ml or g/cm3, is the amount of mass of a certain material that will fit into a given volume (and we're assuming it's a pure, solid sample of the material without bubbles or added stuff) Depending on the information you're given, you can use the known density of a material for calculating either the volume of a known mass or the mass of a known volume. So take a look at the units of the data you're given in each question and see how you would cancel them out to get the units you want. So:

1) You want mass, and you have volume. Since volume is in the denominator of the density units, you would multiply the volume of your sample by the density to get mass. 19.32 g/mL X 48.9 L X 1000 ml/L = 944.75 g

2) You want volume and you've got the mass. The only way you can get the volume portion in the numerator is if you divide by the density. 26 g / 2.699 g/ml = 9.633 ml X 1 dm3/1000 ml = 9.63 X 10^ -3 dm3 (since a mL is considered a cm3, and there are 1000 cm3 in a dm3)

Answer 2

mass = density x volume

volume = 48.9 liter, = 48.9 x 1000 ml (1000ml to the liter)
density = 19.32 g/ml multiply this times the number of ml

volume = mass / density

Do the division to get volume in ml. convert ml to dm^3 (If dm is decimeter, 1 dm = 10 cm. 1 dm^3 = 10^3 cm^3 = 10^3 ml)

Answer 3

Density = mass/ volume
mass = density * volume
the density is in gms/ml, therefore multiply by thousand to convert it into gms/litre, since the volume is in litres.
Answer is 94478 gms
2) volume = mass/density
volume = 9.633 mL

Answer 4

Hi. The first one: 48900 (48.9 * 1000 to make mL.) times 19.32 to get 944748g.

We'll let someone else do the other one.

Answer 5

the formula is D=M/V

1.mass=VD=19.32*48900=944748 g

2.volume=26/2.699*0.001 dm^3=0.0096 g/dm^3

Answer 6

d = m/V