How many moles of methane occupy a volume of 2.00 l at 50.0°c and 0.500 atm answer?

Data Given:

Pressure = P = 0.5 atm

Volume = V = 2.0 L

Temperature = T = 50 °C + 273 = 323 K

Moles = n = ?

Solution:

Let suppose the gas is acting Ideally, Then According to Ideal Gas Equation.

P V = n R T

Solving for n,

n = P V / R T

Putting Values,

n = (0.5 atm * 2.0 L) : (0.0821 atm. L. mol⁻¹. K⁻¹ * 323 K)

n = 0.0377 mol