Question

A 3.24 g object is immersed into a graduated cylinder filled with water. Use the following figure to determine the object’s density. Enter just the numerical value without units. (V1=65ml, V2=90ml)

How many grams of water are contained in a 0.127 L sample at 20°C?

How much will you spend in fuel to travel 405 miles? Your car gets on average 37 miles per gallon and gas costs $2.70/gallon. Report your answer to four significant figures. Enter just the numerical value without the dollar sign.

Answer 1

1. density = mass/volume

given,

mass of object = 3.24 g

Volume occupied by object (water displacement) = 90 - 65 = 25 ml

Therefore,

density of the given object = 3.24 g/25 ml = 0.1296

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2. Given,

Volume of water = 0.127 L

knowing density of water = 1.0 g/L

and using formula,

density = mass/volume

the mass of water contained = density x volume

                                              = 1.0 g/L x 0.127 L

                                              = 0.127 g

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3.

Given,

cost of fuel = $2.70/gallon

average of car = 37 miles/gallon

distance to travel = 405 miles

So,

fuel used by car = 405 miles/37 miles/gallon

                          = 10.95 gallon

final fuel cost spent = 10.95 gallon x $2.70/gallon

                                = $29.56