If 4.5 L of antifreeze solution (specific gravity = 0.80) is added to 4.5 L of water to make a 9 L mixture, what is the specific gravity of the mixture?
To find the specific gravity of the mixture, we need to understand what specific gravity represents. Specific gravity is the ratio of the density of a substance to the density of a reference substance. In this case, we are comparing the density of the antifreeze solution with the density of water.
The formula for specific gravity is:
Specific gravity = Density of substance / Density of reference substance
In our case, the reference substance is water, which has a density of 1 g/mL (or 1000 kg/m³).
Now let's calculate the density of the antifreeze solution using the specific gravity given (0.80). The specific gravity is defined as the ratio of the density of the solution to the density of water.
Specific gravity = Density of antifreeze solution / Density of water
0.80 = Density of antifreeze solution / 1 g/mL
Density of antifreeze solution = 0.80 g/mL
To find the total density of the mixture, we need to know the total mass and volume of the mixture. Since the volumes of both the antifreeze solution and water are given as 4.5 L each, the total volume of the mixture is 9 L.
Now, let's find the total mass of the mixture:
Mass = Volume × Density
Mass of antifreeze solution = 4.5 L × 0.80 g/mL
Mass of water = 4.5 L × 1 g/mL
Total mass of the mixture = mass of antifreeze solution + mass of water
Finally, let's find the density of the mixture using the total mass and volume:
Density of mixture = Total mass / Total volume
Specific gravity of the mixture = Density of mixture / Density of water
By calculating these values, you should be able to find the specific gravity of the mixture.