The density of dry air measured at 25 degrees C is 1.19 x 10^-3g/cm^3. What is the volume of 40.0g of air?
density = mass/volume
So,
1.19*10^-3 g/cm^3 = 40.0g / v cm^3
v = 40.0/(1.19*10^-3) = 33613 cm^3 = 33.6 L
To find the volume of 40.0g of air, we need to use the formula:
Density = Mass / Volume
Rearranging the formula to solve for Volume, we have:
Volume = Mass / Density
Substituting the given values:
Volume = 40.0g / (1.19 x 10^-3g/cm^3)
To cancel out the units, we convert 1.19 x 10^-3g/cm^3 to g/cm^3:
Volume = 40.0g / 0.00119g/cm^3
Calculating this:
Volume = 40.0g / 0.00119g/cm^3
= 33613.4 cm^3
Therefore, the volume of 40.0g of air is 33613.4 cm^3.
To find the volume of 40.0g of air, we can use the density of air as a conversion factor. Density is defined as mass per unit volume, so we can rearrange the equation to solve for volume.
The given density of air is 1.19 x 10^-3g/cm^3. This means that for every 1 cm^3 of air, it has a mass of 1.19 x 10^-3g.
To find the volume of 40.0g of air, we can use the following equation:
Volume = Mass / Density
Substituting the values we have:
Volume = 40.0g / (1.19 x 10^-3g/cm^3)
To simplify the calculation, we need to convert the density from g/cm^3 to g/cm^3:
- Convert grams (g) to grams (g): There is no need for conversion.
- Convert cm^3 (cm^3) to cm^3 (cm^3): There is no need for conversion.
Now, we can perform the calculation:
Volume = 40.0g / (1.19 x 10^-3g/cm^3)
Volume = 40.0g / 1.19 x 10^-3g/cm^3
Volume ≈ 33,613.4 cm^3
So, the volume of 40.0g of air is approximately 33,613.4 cm^3.