A sample of methane gas collected at a pressure of 1.12 atm and a temperature of 276 K is found to occupy a volume of 766 milliliters. How many moles of CH4 gas are in the sample?
mol
To find the number of moles of methane gas in the sample, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (1.12 atm)
V = volume (766 mL = 0.766 L)
n = number of moles (what we need to find)
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (276 K)
Plugging in the values:
(1.12 atm)(0.766 L) = n(0.0821 L.atm/mol.K)(276 K)
0.85792 = 22.6536n
n = 0.0379 mol
Therefore, there are 0.0379 moles of CH4 gas in the sample.