QuestionA container weighs 107.34 g empty and 597.22 g full. What is its volume in ml?

Studdy Solution

STEP 1

Assumptions1. The weight of the empty container is107.34 g. The weight of the container when full of water is597.22 g3. The density of water is1 g/ml4. The volume of the container is equal to the weight of the water it can hold, due to the density of water being1 g/ml

STEP 2

First, we need to find the weight of the water in the container. We can do this by subtracting the weight of the empty container from the weight of the full container.
$Weight\, of\, water = Weight\, of\, full\, container - Weight\, of\, empty\, container$

STEP 3

Now, plug in the given values for the weight of the full container and the weight of the empty container to calculate the weight of the water.
$Weight\, of\, water =597.22\, g -107.34\, g$

STEP 4

Calculate the weight of the water.
$Weight\, of\, water =597.22\, g -107.34\, g =489.88\, g$

STEP 5

Now that we have the weight of the water, we can find the volume of the container. Since the density of water is1 g/ml, the volume is equal to the weight of the water.
$Volume\, of\, container = Weight\, of\, water$

STEP 6

Plug in the value for the weight of the water to calculate the volume of the container.
$Volume\, of\, container =489.88\, ml$ The volume of the container is489.88 ml, to the correct number of significant figures.

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