Question

Which of the following has the LARGEST mass? 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. 1.0 gallon of water
B. 5.0 Lb potatoes
C. 1.0 gallon of gasoline
D. 3.0 L of gasoline

Answer 1

Answer: A. 1.0 gallon of water

Explanation: to calculate the mass of each option, we have to note the unit conversations, and for the purposes of this question we will be using the density of the substance that is not under the condition of temperature or pressure, because we have option B which conditions of pressure and temperature are not stated.

For option A:

1gallon= 3.7854liters

Density= 1.0g/ml= 1000g/liters

mass= volume×Density

Therefore

Mass= 3.7854×1000= 3785gram

For option B:

5lb potatoes 1kg=2.2046lb

Therefore:

(5lb×1kg)/2.2046lb= 2.26798kg

Where 1kg=1000gram

(2.26798kg×1000g)/1kg= 2268grams

For option C:

1gallon=3.7854liters

Density=0.8g/ml= 800g/l

Therefore:

Mass= density×volume

Mass=800×3.7854=3028grams

For option D:

Mass= density×volume

Density= 800g/ml

Volume=3liters

Therefore mass=

800×3=2400grams

THEREFORE FROM THE OPTIONS ABOVE WE CAN SEE THAT OPTION A OF 1 GALLON OF WATER, HAS THE LARGEST MASS, WITH 3785grams