MULTIPLE CHOICE QUESTION: Which of the following has the SMALLEST mass?
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HINTS: Useful conversions are given below.
1 gallon = 3.7854 L
Density of gasoline = 0.80 g/mL given that its density is 13.5 g/cm3 at 25ºC and 1.0 atm.
Density of water = 1.00 g/mL given that its density is 13.5 g/cm3 at 25ºC and 1.0 atm.
1 kg = 2.2046 Lb
A. 5.0 Lb potatoes |
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B. 1.0 gallon of water | ||||
C. 1.0 gallon of gasoline | ||||
D. 3.0 L can of gasoline |
Ans
This may help
1) 1.0 gallon of water = 3.7854 L = 37854 mL
density = mass / volume ------------------------------(1)
so, from eq (1)
mass of 37854 mL water = 37854 x 1
= 37854 g.
(2) 2.2046 Lb = 1Kg = 1000 g
then 5.0 Lb potatoes = (5.0 x 1000) / 2.2046
5.0 Lb potatoes = 2267.99 g
(3) 1 gallon gasoline = 3.7854 L = 37854 mL
from eq (1), mass of 37854 mL gasoline = 0.8 x 37854
= 30283.2 g
(4) 3L of gasoline = 3000 mL
mass of 3000 mL gasoline = 0.8 x 3000
= 2400 g.
Correct option:
1.0 gallon of water.
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