Calculate the density of methane gas, CH4, in kilograms per cubic meter at 25 degrees C and 956 mmHg.
I got .8252 g/L but am getting confused with the converting units.
Is it just .8252 kg/cm^3? because multiply 1000cm^3 / 1000kg
Yes it is but I don't know how you arrived at the 0.8252. We may have used slightly different numbers.
P*Molar mass = d*RT
(956/760) x 16/(0.08206*298) and I get 0.8230 which is 0.823 to there s.f.
You may have used a slightly different molar mass than 16.
To calculate the density of methane gas at 25 degrees Celsius and 956 mmHg, you need to convert the given pressure to an appropriate unit and then convert the density from grams per liter (g/L) to kilograms per cubic meter (kg/m^3). Here's how you can do it step by step:
Step 1: Convert the given pressure from mmHg to the SI unit of pressure, which is pascal (Pa).
1 atm = 101325 Pa
1 mmHg = 133.3224 Pa
956 mmHg * (133.3224 Pa / 1 mmHg) = 127091.1464 Pa
Step 2: Use the Ideal Gas Law to find the molar volume of methane gas at the given conditions.
PV = nRT
Where:
P = Pressure in Pa
V = Volume in m^3
n = Number of moles
R = Ideal gas constant = 8.314 J/(mol·K)
T = Temperature in Kelvin
To find the molar volume, rearrange the Ideal Gas Law equation to solve for V:
V = (nRT) / P
Since we want to find the molar volume per mole (molar volume/mol), we can set n equal to 1 mole:
V = (1 mole * 8.314 J/(mol·K) * (25 + 273.15) K) / 127091.1464 Pa
Step 3: Convert the molar volume from cubic meters per mole (m^3/mol) to liters per mole (L/mol) by multiplying by 1000:
V = [(1 mole * 8.314 J/(mol·K) * (25 + 273.15) K) / 127091.1464 Pa] * 1000 L/mol
Step 4: Convert the molar volume to grams per liter (g/L) by multiplying by the molar mass of methane, which is 16.04 g/mol:
V = [(1 mole * 8.314 J/(mol·K) * (25 + 273.15) K) / 127091.1464 Pa] * 1000 L/mol * 16.04 g/mol
Step 5: Convert the density from grams per liter (g/L) to kilograms per cubic meter (kg/m^3) by dividing by 1000:
density = [(1 mole * 8.314 J/(mol·K) * (25 + 273.15) K) / 127091.1464 Pa] * 1000 L/mol * 16.04 g/mol / 1000 kg/g = X kg/m^3
Plug in the values and calculate to find the density of methane gas.