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

1 answer

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.