Brandy (41%), gin (38%) and tequila (50%) are all forms of alcoholic beverages with the mentioned percentage composition of alcohol and water.
As we know, density = mass / volume
Therefore, the density of the mixture of water and alcohol would be = (M1+M2) / (M1/D1+M2/D2)
where, M1 = mass of alcohol
M2 = mass of water
D1 = density of alcohol
D2 = density of water
Dividing the overall density of the mixture by the density of water will give the specific gravity of the mixture. As the density of water is approximately equal to unity, so the values of the density of mixture would be the same as the specific gravity of the mixture.
Calculation of specific gravity of brandy
Density of brandy (41%) = (M1+M2) / (M1/D1+M2/D2)
= (41 + 59) / (41 / 0.789 + 59 / 1)
= 100 / (51.96 + 59)
= 100 / 110.96
= 0.901
So, the specific gravity of brandy (41%) = 0.901
Calculation of specific gravity of gin
Density of gin (38%) = (M1+M2) / (M1/D1+M2/D2)
= (38 + 62) / (38 / 0.789 + 62/ 1)
= 100 / (48.16 + 62)
= 100 / 110.16
= 0.908
So, the specific gravity of brandy (41%) = 0.908
Calculation of specific gravity of tequila
Density of brandy (50%) = (M1+M2) / (M1/D1+M2/D2)
= (50 + 50) / (50 / 0.789 + 50 / 1)
= 100 / (63.37 + 50)
= 100 / 113.37
= 0.882
So, the specific gravity of brandy (41%) = 0.882
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