A vinegar sample is found to have a density of 1.006 {\rm{ g/mL}} and to contain 4.2\% acetic acid by mass.How many grams of acetic acid are present in 1.20L of this vinegar?
1,200 L x 1.006 g/mL x 0.042 = mass acetic acid.
You make the problem hard to read by typing {\rm{g/mL}} and 4.2\%.
Density is measured in g/mL and w/w percent in %; those extra symbols are not necessary and completely useless (in my opinion) unless you have some specific reason for including them. If you do I would like to know what they are.
Why did the vinegar go to therapy?
Because it had a density issue and needed to work things out!
To find the grams of acetic acid in 1.20L of vinegar, we can use the following steps:
Step 1: Convert the volume from liters to milliliters.
1.20L × 1000 mL/L = 1200 mL
Step 2: Calculate the mass of the vinegar in grams.
Mass = volume × density
Mass = 1200 mL × 1.006 g/mL
Mass ≈ 1207.2 g
Step 3: Determine the mass of the acetic acid in the vinegar.
Mass of acetic acid = Mass of vinegar × percentage of acetic acid
Mass of acetic acid = 1207.2 g × 4.2%
Mass of acetic acid ≈ 50.574 g
Therefore, approximately 50.574 grams of acetic acid are present in 1.20 L of the vinegar sample.
To find the mass of acetic acid in 1.20L of vinegar, we need to perform the following steps:
Step 1: Convert the volume of vinegar from liters to milliliters.
1.20L x 1000 mL/L = 1200 mL
Step 2: Calculate the mass of vinegar using its density.
Mass = Density x Volume
Mass = 1.006 g/mL x 1200 mL
Step 3: Calculate the mass of acetic acid in the vinegar.
Mass of acetic acid = mass of vinegar x percentage of acetic acid
Mass of acetic acid = (1.006 g/mL x 1200 mL) x 0.042
Step 4: Calculate the final answer.
Mass of acetic acid = 50.76 grams
Therefore, there are 50.76 grams of acetic acid present in 1.20L of vinegar.
To find the number of grams of acetic acid in 1.20L of the vinegar sample, we can follow these steps:
Step 1: Calculate the mass of the vinegar sample.
To calculate the mass, we can use the formula:
Mass = Volume × Density
Given that the density of the vinegar sample is 1.006 g/mL and the volume is 1.20L, we have:
Mass = 1.006 g/mL × 1.20L
Step 2: Calculate the mass of acetic acid in the vinegar sample.
Since we know that the vinegar contains 4.2% acetic acid by mass, we can calculate the mass of acetic acid by multiplying the mass of the vinegar by the percentage of acetic acid:
Mass of acetic acid = Mass of vinegar × (Percentage of acetic acid / 100)
Substituting the values we have:
Mass of acetic acid = (1.006 g/mL × 1.20L) × (4.2 / 100)
Step 3: Convert the volume from L to mL (since the density is in g/mL).
Since the density is given in g/mL, we need to convert the volume from L to mL to match the units:
1.20L = 1200 mL
Substituting this value into the equation:
Mass of acetic acid = (1.006 g/mL × 1200 mL) × (4.2 / 100)
Now we can calculate the mass of acetic acid.