Multiple Choice
The density of a sample of wine is 1.08 g/mL. If a Salmanazar of wine is 9.00 liters, what is the weight of 3.67 Salmanazars of wine in ounces?
1. Intro to General Chemistry
Density
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What volume (in mL) of a soft drink that is 10.5% sucrose (C12H22O11) by mass contains 78.5 g of sucrose? (The density of the solution is 1.04 g/mL.)
A
750 mL
B
720 mL
C
850 mL
D
800 mL
Verified step by step guidance1
Start by understanding the problem: We need to find the volume of the soft drink solution that contains 78.5 g of sucrose, given that the solution is 10.5% sucrose by mass and has a density of 1.04 g/mL.
Calculate the total mass of the solution needed to contain 78.5 g of sucrose. Since the solution is 10.5% sucrose by mass, use the formula: \( \text{Total mass of solution} = \frac{\text{mass of sucrose}}{\text{percentage of sucrose}} \). Substitute the values: \( \text{Total mass of solution} = \frac{78.5 \text{ g}}{0.105} \).
Once you have the total mass of the solution, use the density to find the volume. The formula for density is \( \text{Density} = \frac{\text{mass}}{\text{volume}} \). Rearrange this to find volume: \( \text{Volume} = \frac{\text{mass}}{\text{density}} \). Substitute the total mass of the solution and the density: \( \text{Volume} = \frac{\text{Total mass of solution}}{1.04 \text{ g/mL}} \).
Convert the volume from mL to L if necessary, but since the problem asks for the volume in mL, ensure your final calculation is in mL.
Review the options provided (750 mL, 720 mL, 850 mL, 800 mL) and compare them to your calculated volume to determine which is closest to your result.
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