The density of dry air is 1.12*10-3g/cm3
What volume of air in cubic meter will have a mass of 1.00kg?
mass = density * volume, so plug in your numbers
v = 1000g / (1.12*10^-3) g/cm^3 * 1m^3/10^6cm^3 = ____ m^3
Please assist with my assignment
To find the volume of air in cubic meters that will have a mass of 1.00 kg, we need to use the density of dry air.
Density is defined as mass divided by volume:
Density = Mass / Volume
We are given the density of dry air as 1.12 * 10^(-3) g/cm^3. However, we need to convert this value to kg/m^3 to be consistent with the given mass in kilograms.
To convert g/cm^3 to kg/m^3, we can use the following conversion factors:
1 g = 0.001 kg (since 1 gram is equal to 0.001 kilograms)
1 cm = 0.01 m (since 1 centimeter is equal to 0.01 meters)
Thus, 1 g/cm^3 = (0.001 kg) / (0.01 m)^3 = 1000 kg/m^3.
Now we can substitute the values into the density equation:
1000 kg/m^3 = 1.00 kg / Volume
To find the volume, we rearrange the equation:
Volume = Mass / Density
Volume = 1.00 kg / 1000 kg/m^3
Simplifying the calculation:
Volume = 0.001 m^3
Therefore, the volume of air in cubic meters that will have a mass of 1.00 kg is 0.001 m^3.