Answer :
Given:
m₁ = 1.70 kg, mass of the empty 3.00 L bottle
m₂ = 4.72 kg, the mass of the bottle and wine.
The mass of the wine is
m = m₂ - m₁ = 4.72 - 1.70 = 3.02 kg
Because the volume of the wine is 3.00 L, its density may be expressed as
(3.02 kg)/(3.00 L) = 1.0067 kg/L
The amount (density) of ethyl alcohol in the wine is
0.115*(1.0067 kg/L) = 0.1158 kg/L
In 250 mL of this wine, the mass of ethyl alcohol is
(250 x 10⁻³ L)*(0.1158 kg/L) = 0.02895 kg = 28.95 g
Answer: 28.95 g
m₁ = 1.70 kg, mass of the empty 3.00 L bottle
m₂ = 4.72 kg, the mass of the bottle and wine.
The mass of the wine is
m = m₂ - m₁ = 4.72 - 1.70 = 3.02 kg
Because the volume of the wine is 3.00 L, its density may be expressed as
(3.02 kg)/(3.00 L) = 1.0067 kg/L
The amount (density) of ethyl alcohol in the wine is
0.115*(1.0067 kg/L) = 0.1158 kg/L
In 250 mL of this wine, the mass of ethyl alcohol is
(250 x 10⁻³ L)*(0.1158 kg/L) = 0.02895 kg = 28.95 g
Answer: 28.95 g
Final answer:
There are approximately 28.94 grams of ethyl alcohol in 250.0 ml of the given wine, which contains 11.5% ethyl alcohol by mass.
Explanation:
To calculate the grams of ethyl alcohol in 250.0 ml of the given wine, we'll first determine the mass of wine in a full bottle, then the total mass of ethyl alcohol in it and afterwards find out how much ethyl alcohol is in the specified volume.
The mass of the wine alone is the total weight of the filled bottle minus the weight of the empty bottle, which is 4.72 kg - 1.70 kg = 3.02 kg. Since the wine is 11.5% ethyl alcohol by mass, the mass of ethyl alcohol in the full bottle is 11.5% of 3.02 kg, which is 0.3473 kg or 347.3 grams.
To find out how much ethyl alcohol is in 250.0 ml of the wine, we need to calculate what fraction of the wine is 250.0 ml relative to the full volume of 3.00 L (3000 ml). The fraction is 250.0 ml / 3000 ml = 1/12.
Finally, we multiply the total mass of ethyl alcohol by this fraction: 347.3 grams * 1/12 = 28.9417 grams. Therefore, there are approximately 28.94 grams of ethyl alcohol in 250.0 ml of this wine.
