Question

The density of mercury is 13.5g/mL. What is the volume of this liquid if the sample weighs 12.5 pounds?

Answer 1

To find the volume of mercury, we can use its density and the given sample weight. The volume is 421.48 mL.

Step-by-step explanation:

To find the volume of mercury, we can use the density of mercury and the given weight of the sample. The density of mercury is 13.5g/mL, which means that for every 1 mL of mercury, it has a weight of 13.5 grams. We are given that the sample weighs 12.5 pounds. First, we need to convert the weight from pounds to grams using the conversion factor 1 pound = 453.592 grams. Then, we can use the density to calculate the volume by dividing the weight in grams by the density.

Weight in grams = 12.5 pounds × 453.592 g/pound = 5679.9 grams

Volume of mercury = Weight in grams / Density = 5679.9 grams / 13.5 g/mL = 421.48 mL

Answer 2

Answer : The volume of liquid is 420 mL.

Explanation :

Density : The mass per unit volume of a substance is known as density.

Formula used:

`\text{Density}=\frac{\text{Mass}}{\text{Volume}}`

As we are given:

Density of mercury = 13.5 g/mL

Mass = 12.5 pounds

First we have to convert mass of sample from pound to gram.

Conversion used:

As, 1 pound = 453.6 g

So, 12.5 pounds = 453.6 × 12.5 g = 5670 g

Now we have to calculate the volume of liquid.

`\text{Density}=\frac{\text{Mass}}{\text{Volume}}`

Now putting all the given values in this formula, we get:

`13.5g/mL=\frac{5670g}{\text{Volume}}`

Volume = 420 mL

Therefore, the volume of liquid is 420 mL.