Answer :
Answer: 32.6 kg
Explanation: [tex]Density=\frac{Mass}{Volume}[/tex]
[tex]Volume=length\times breadth\times height[/tex]
length= 11.0 ft=335.28cm (1foot=12inches, 1 inch=2.54 cm ,1 foot=30.48 cm)
breadth = 11.0 ft = 335.28 cm
height = 8.0 ft = 243.84 cm
[tex]Volume=335.28\times 335.28\times 243.84cm^3=27410707.5cm^3=27410.7L[/tex] [tex](1L=1000cm^3)[/tex]
[tex]1.19g/L=\frac{Mass}{27410.7}[/tex]
[tex]Mass=32618.7g=32.6kg[/tex] (1kg=1000g)
The mass of air in a room that measures 11.0ft x 11.0ft and has an 8.00 ft ceiling is 32.6 kg.
Further Explanation:
Density
- Density is defined as the mass per unit volume of an object.
- Therefore density is given by mass of an object divide by its volume.
That is; D = M/V
- Density is measured in grams per cubic centimeter (g/cm³)
- For instance the density of water is 1 gram per cubic centimeter (1 g/cm³)
- However, density may be expressed in kilograms per cubic meter (kg/m³)
- For Example the density water may be expressed as 1000 kg/m³.
- Other units of measuring density may be converted into SI units.
Volume
- Volume is the amount of space that is contained within an object or a solid.
- Volume of a cuboid is given by;
Volume = length x breadth x height
In this case;
Length= 11.0 ft= 335.28 cm but; (1 foot= 12 inches, 1 inch=2.54 cm ,1 foot=30.48 cm)
Breadth = 11.0 ft = 335.28 cm
Height = 8.0 ft = 243.84 cm
Volume = 335.28 cm x 335.28 cm x 243.84 cm
= 27410707.5 cm³
but 1L = 1000 cm³
= 27410.7 L
But; the density is 1.19 g/L
1.19 g/L = Mass/27410.7
Mass = 1.19 g/L × 27410.7 L
= 32618.8 g
= 32.6 kg
Keywords: Density, volume, mass
Learn more about:
- Density: https://brainly.com/question/1747765
- Formula for calculating Density; https://brainly.com/question/1747765
Level: High school
Subject: Physics
Chapter: Density