The mass of alcohol with a density of 0.900 g/cm^3 that will have the same volume as 20 g of mercury with a density of 13.6 g/cm^3 will be 1.32 grams.
The density of a substance is given by the following formula:
Density = Mass/Volume
As 20 grams of mercury is given, we can calculate its volume using the above formula
13.6 = 20/Volume
The volume of mercury comes out to be 1.47 ml.
As the volume of mercury and alcohol is given the same in the question, we can calculate the mass of alcohol by again using the same formula
0.900 = Mass/1.47
Mass = 1.32 g
Hence, the mass of alcohol with a density of 0.900 g/cm^3 that will have the same volume as 20 g of mercury with a density of 13.6 g/cm^3 will be 1.32 grams.
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