Question

A mass of mercury occupies 0.950L. What volume would an equal mass of ethanol occupy? The density of mercury is 13.546g/mL and the density of ethanol is 0.789g/mL

Answer 1

To determine what volume an equal mass of ethanol would occupy, the mass of mercury is first calculated using its density and volume, and then this mass is used to calculate the volume of ethanol required for the same mass using the density of ethanol.

Step-by-step explanation:

The question asks us to find out what volume an equal mass of ethanol would occupy, given the mass of mercury and the densities of both mercury and ethanol. First, we calculate the mass of mercury with its given density and the volume it occupies. Then we use the mass of mercury to find the volume that the same mass of ethanol would occupy, using the density of ethanol as a conversion factor.

Let's find the mass of the mercury using its density: Mass = Density × Volume. For mercury with a density of 13.546 g/mL and a volume of 0.950 L (which is 950 mL because 1 L = 1000 mL), the mass is 13.546 g/mL × 950 mL.

With the mass of mercury found, we calculate the volume of ethanol using the formula Volume = Mass / Density, and the given density of ethanol, 0.789 g/mL. By dividing the mass of mercury by the density of ethanol, we find the volume that this mass would occupy if it were ethanol instead of mercury.

Answer 2

16.3 L

Step-by-step explanation:

volume of mercury = 0.950 L

density of mercury = 13.546 g/ml

and density of ethanol = 0.789 g/ml

From the given density and volume we will calculate the mass of mercury and then there would exactly same mass of ethanol be there as is mentioned.

we know that, mass = volume x density

So, mass of mercury = 0.950 L x (1000ml/1L) x (13.546g/ml) = 12868.7g

Now we have mass and density of ethanol so it's volume could easily be calculated as volume = mass/density

volume of ethanol = 12868.7g x (1ml/0.789ml) x (1L/1000ml) = 16.31 L