A 5-m^3 container is filled with 900 kg of granite (density of 2400 kg / m^3 ). The rest of th

Name: Problem 40, Chapter 1: Fundamentals of Thermodynamics
Uploaded: 2020-07-17T09:59:47-08:00
Duration: 2 min 22 s
Channel: Sophie S
Description: A 5-m^3 container is filled with 900 kg of granite (density of 2400 kg / m^3 ). The rest of the volume is air, with density equal to 1.15 kg / m^3. Find the mass of air and the overall (average) specific volume.

step 1 So what we're looking for in this problem is the mass of air and the overall specific volume. So

Question

A $5-\mathrm{m}^{3}$ container is filled with $900 \mathrm{~kg}$ of granite (density of $2400 \mathrm{~kg} / \mathrm{m}^{3}$ ). The rest of the volume is air, with density equal to $1.15 \mathrm{~kg} / \mathrm{m}^{3}$. Find the mass of air and the overall (average) specific volume.

   A $5-\mathrm{m}^{3}$ container is filled with $900 \mathrm{~kg}$ of granite (density of $2400 \mathrm{~kg} / \mathrm{m}^{3}$ ). The rest of the volume is air, with density equal to $1.15 \mathrm{~kg} / \mathrm{m}^{3}$. Find the mass of air and the overall (average) specific volume.

Fundamentals of Thermodynamics

Claus Borgnakke,… 8th Edition

Chapter 1, Problem 40

Instant Answer

Solved by Expert Sophie S

07/17/2020

Step 1

We know the mass of granite (900 kg) and its density (2400 kg/m³). We can use the formula: Volume = Mass / Density Volume of granite = 900 kg / 2400 kg/m³ = 0.375 m³ Show more…

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A $5-\mathrm{m}^{3}$ container is filled with $900 \mathrm{~kg}$ of granite (density of $2400 \mathrm{~kg} / \mathrm{m}^{3}$ ). The rest of the volume is air, with density equal to $1.15 \mathrm{~kg} / \mathrm{m}^{3}$. Find the mass of air and the overall (average) specific volume.

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Key Concepts

Density

Density is a fundamental property that defines the mass per unit volume of a substance. It is essential when relating mass and volume, and serves as a basis for calculating how much mass is present in a given volume, as well as for comparing different materials.

Specific Volume

Specific volume is the reciprocal of density and indicates the volume occupied per unit mass. This concept is important in understanding the space a substance or mixture occupies when its mass is known, and it is widely used in thermodynamics and material science.

Volume Balance in Mixtures

When dealing with mixtures or composite systems where different substances occupy distinct portions of a container, volume balance involves determining the individual volumes of the components based on their mass and density, and then using these to assess the overall properties of the system. This approach ensures that the sum of the component volumes equals the total volume of the container.

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