1. Convert Temperature to Kelvin
* T(K) = T(°C) + 273.15
* T(K) = 20°C + 273.15 = 293.15 K
2. Use the Ideal Gas Law
* PV = nRT
* P = Pressure (atm) = 1 atm
* V = Volume (L) = 44 L
* n = Number of moles (mol)
* R = Ideal gas constant = 0.0821 L·atm/mol·K
* T = Temperature (K) = 293.15 K
3. Solve for n (moles)
* n = (PV) / (RT)
* n = (1 atm * 44 L) / (0.0821 L·atm/mol·K * 293.15 K)
* n ≈ 1.84 moles
Therefore, there are approximately 1.84 moles of N2 gas under these conditions.