Citric acid is concentrated in citrus fruits and plays a central metabolic role in nearly every animal and plant cell. How many moles of citric acid are in 2.94qt of lemon juice =d1.09gmL that is 4.25% citric acid by mass? Be sure your answer has the correct number of significant figures.

To solve this problem, we need to follow several steps:

1. Convert the volume of lemon juice from quarts to liters. There are approximately 0.946353 liters in a quart, so 2.94 quarts is about 2.78 liters.

2. Convert the volume of lemon juice to mass. Given that the density of lemon juice is 1.09 g/mL, we first convert liters to milliliters (1 L = 1000 mL), so 2.78 L is 2780 mL. Then, we multiply the volume by the density to get the mass: 2780 mL * 1.09 g/mL = 3028.2 g.

3. Calculate the mass of citric acid in the lemon juice. We know that the lemon juice is 4.25% citric acid by mass, so we multiply the total mass of the lemon juice by 0.0425 to get the mass of the citric acid: 3028.2 g * 0.0425 = 128.6985 g.

4. Convert the mass of citric acid to moles. The molar mass of citric acid is approximately 192.13 g/mol, so we divide the mass of the citric acid by the molar mass to get the number of moles: 128.6985 g / 192.13 g/mol = 0.669 moles.

So, there are approximately 0.669 moles of citric acid in 2.94 quarts of lemon juice. This answer has three significant figures because the number with the least number of significant figures that we used in our calculations was the percentage of citric acid in the lemon juice, which had three significant figures.