2. A plastic container has a mass of 62 g and a volume of 44.3 cm3.

a. What is the density of the plastic container in g/cm3?

Question

2.  A plastic container has a mass of 62 g and a volume of 44.3 cm3.

a.  What is the density of the plastic container in g/cm3?

BlackTom AI · Accepted Answer

Start by identifying the given quantities: mass = 62 g and volume = 44.3 cm3. The task is to find density, which is defined as density = mass / volume.

Proceed to compute the quotient: 62 g ÷ 44.3 cm3. Perform the division to obtain a decimal value.

Carrying out the calculation: 62 / 44.3 ≈ 1.399... When rounding to two decimal places, the value becomes approximately 1.40.

Consider the units: since mass is in grams and volume in cubic centimeters, the resulting density will be in g/cm3.

If you check significant figures, 62 g has two significant figures and 44.3 cm3 has three significant figures; the result should be reported with the lesser of the two, which is two significant figures, yielding 1.4 g/cm3. Depending on the rounding convention used, reporting 1.40 g/cm3 is also acceptable and preserves three sig figs, which is consistent with the given volume measurement.

With these steps, you determine the density value from the mass-to-volume ratio, ensuring the units are consistent throughout the calculation.

Note: If you encounter a calculator-based approach, ensure you input 62 ÷ 44.3 precisely and then apply the appropriate rounding to match the desired sig fig convention.

2. A plastic container has a mass of 62 g and a volume of 44.3 cm3. a. What is the density of the plastic container in g/cm3?

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