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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Not the one you use?Change textbook
All textbooksMcMurry 8th EditionCh.1 - Chemical Tools: Experimentation & MeasurementProblem 111c
Chapter 1, Problem 111c

Answer the following questions. (c) A certain type of wood has a density of 0.40 g/cm3. What is the mass of 1.0 cord of this wood in kg, where 1 cord is 128 cubic feet of wood?

Verified step by step guidance
1
Convert the volume from cubic feet to cubic centimeters. Use the conversion factor: 1 cubic foot = 28316.8 cm^3.
Calculate the total volume in cubic centimeters by multiplying 128 cubic feet by the conversion factor.
Use the density formula: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \) to find the mass. Rearrange the formula to solve for mass: \( \text{Mass} = \text{Density} \times \text{Volume} \).
Substitute the given density (0.40 g/cm^3) and the calculated volume in cm^3 into the mass formula to find the mass in grams.
Convert the mass from grams to kilograms by dividing by 1000, since 1 kg = 1000 g.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Density

Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). It is a crucial property that helps determine how much mass is contained in a given volume of a substance. In this question, the density of the wood is given as 0.40 g/cm³, which will be used to calculate the mass of the wood based on its volume.
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Volume Conversion

To solve the problem, it is necessary to convert the volume of wood from cubic feet to cubic centimeters, as the density is provided in g/cm³. One cord of wood is equivalent to 128 cubic feet, and knowing that 1 cubic foot equals approximately 28,316.8 cubic centimeters allows for the conversion. This step is essential to ensure that the units are consistent when calculating mass.

Mass Calculation

Mass can be calculated using the formula: mass = density × volume. Once the volume of the wood in cubic centimeters is determined, multiplying it by the density will yield the mass in grams. To convert this mass into kilograms, one must divide the result by 1,000, as there are 1,000 grams in a kilogram. This final step is necessary to express the mass in the desired unit.
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