One mole of methane has a mass of 16.0 grams. 1000cm3 of methane have a mass of 0.174 g. What is the correct expression for calculating the volume of 1 mole of methane?
V:1mole=1000cm^3:.174g
Change the .176g to fraction of mole (.176/16)
or V/mole= 1000cm^3/(.174/16 mole)
I get about, for the volume per mole, 92liters. Must be really hot.
To calculate the volume of 1 mole of methane, we can use the concept of molar volume. Molar volume is defined as the volume occupied by one mole of any gas at a specific temperature and pressure. The molar volume of an ideal gas at standard temperature and pressure (STP) conditions (0°C or 273.15 K and 1 atm) is approximately 22.4 liters or 22,400 cm3.
Given that 1000 cm3 of methane has a mass of 0.174 g, we can find the volume of 1 mole of methane using the molar mass of methane, which is 16.0 grams/mole.
First, we need to find the number of moles in 0.174 g of methane using the formula:
moles = mass / molar mass
moles = 0.174 g / 16.0 g/mol
moles ≈ 0.010875 mol (rounded to 6 decimal places)
Now, we can use the molar volume to find the volume of 1 mole of methane:
volume = moles × molar volume
volume = 0.010875 mol × 22,400 cm3/mol
volume ≈ 245.7 cm3 (rounded to 1 decimal place)
Therefore, the correct expression for calculating the volume of 1 mole of methane is approximately 245.7 cm3.