Each liter of air has a mass of 1.80. How many liters of air are contained in 2.5 times 10 to the third power kg of air?
1.80 WHAT?
Is that grams? Then the density is 1.80 g/L since 1 L has a mass of 1.80 grams.
mass = volume x density.
You have density and mass, solve for volume. Post your work if you get stuck.
To find the number of liters of air contained in 2.5 × 10^3 kg of air, we need to use the given mass of air per liter.
The given mass of air per liter is 1.80 kg/liter.
To calculate the number of liters, we can use the formula:
Number of liters = Total mass of air (kg) / Mass of air per liter (kg/liter)
Substituting the given values:
Number of liters = 2.5 × 10^3 kg / 1.80 kg/liter
To simplify the calculation, we can convert the mass of air per liter to the same unit as the total mass of air (kg).
Mass of air per liter = 1.80 kg/liter = 1.80 × 10^3 kg/liter (since 1 kg = 10^3 g)
Now, we can proceed to calculate the number of liters:
Number of liters = 2.5 × 10^3 kg / 1.80 × 10^3 kg/liter
To divide two numbers written in scientific notation, we subtract the exponents:
Number of liters = (2.5 / 1.80) × 10^(3 - 3) liters
Number of liters = 1.39 × 10^0 liters
Since 10^0 equals 1, we can simplify further:
Number of liters = 1.39 liters
Therefore, there are 1.39 liters of air contained in 2.5 × 10^3 kg of air.