One cubic foot of lead weighs 708 pounds. Calculate its density in g ml 7. What

Question

One cubic foot of lead weighs 708 pounds. Calculate its density in g ml 7. What is the volume in cubic feet of 4.50 metric tons of lead? 8. The mass of the Kohnur Dimond is 108 carats. If the density of diamond is 3.51 g ml., what is the volume of this gem? (1 carat -3,09 grains, 7000 grains 1 pound, 16 ounces- 1 pound, and 453.6 g-1 pound.) 9. Pure gold has a density of 193g ml. at room temperature. Ifa 0.779 ml. sample of gold was found to have a mass of 12.3 g, what can be concluded about the composition of the sample?

Explanation / Answer

Answer –

6) Given, mass of lead = 708 pound, volume = 1ft3

First we need to convert the given mass of lead pound to gram

We know,

1 pound = 453.6 g

So, 708 pound = ? g

= 708 pounds * 453.6 g / 1 pounds

= 3.21*105 g

In the second step we need to convert given volume ft3 to mL

We know

1 ft3 = 28316.85 mL

Now we have mass in gram and volume in mL, we also know the formula for calculating density

Density = mass / volume

              = 3.21*105 g / 28316.85 mL

              = 11.34 g/mL

7) Given, mass of lead = 4.50 metric tons, volume = ?

We need to calculate the given mass metric ton to gram

We know

1 metric ton = 1*106 g

So,4.50 metric ton = ?

= 4.5*106 g

We already calculate the density of lead and it is 11.34 g/mL

So, volume = mass / density

                   = 4.5*106 g / 11.34 g.mL-1

                   = 3.96*105 mL

Now we need to converted mL to ft3

We know,

28316.85 mL = 1 ft3

So, 3.96*105 mL = ?

= 3.96*105 mL * 1 ft3 / 28316.85 mL

= 14.01 ft3

8) Givn, mass of diamond = 108 carats , density = 3.51 g/mL

We also given,

1 carats = 3.09 grains

7000 grains = 1 pound

1 pound = 453.6 g

Now we need to convert the given mass carat to gram

= 108 carats * 3.09 grains/1 carats * 1pound / 7000 grains * 453.6 g / 1 pounds

= 21.63 g

, so volume = mass / density

                   = 21.63 g / 3.51 g.mL-1

                 = 6.16 mL

9) Given, density of pure gold = 19.3 g/mL,

Volume = 0.779 mL , mass of gold = 12.3 g for another sample of gold

We need to calculate the density of gold

We know,

Density = mass / volume

             = 12.3 g / 0.779 mL

            = 15.78 g/mL

We are given pure gold density is and it is 19.3 g/ml and given sample gold density is 15.78 g/mL, so the given sample is not pure gold.

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