Answer to Question #138761 in General Chemistry for emily

Question

The manufacturer claims that regular vinegar and pickling vinegar contain 5.25% and 7.34% acetic acid by mass. If a 4L bottle of regular vinegar costs $2.50 and a 4L bottle of pickling vinegar costs $3.25, which vinegar is the better buy? (assume the density of vinegar is 1.00 g/mL)

Answer 1

regular vinegar

=5.25% acetic acid by mass

pickling vinegar contain

=7.34% acetic acid by mass

Cost of regular vinegar = $2.50 per 4 L

Cost of pickling vinegar = $3.25 per 4L

Density = 1.00g/ ml

Density = mass/volume

Mass = density / volume

Mass = 1g

Regular vinegar = ((5.25)(1))

= 5.25g

Pickling vinegar = ((7.34)(1))

= 7.34g

Therefore

Note: Regular vinegar is better to buy since its cost is lower and the mass required is lower