PV = nRT
Where:
P is the pressure in atmospheres (atm)
V is the volume in liters (L)
n is the number of moles of gas (mol)
R is the universal gas constant (0.08206 L atm / mol K)
T is the temperature in Kelvin (K)
First, we need to convert the temperature from °C to K. We can do this by adding 273.15 to the °C temperature:
T = -20°C + 273.15 = 253.15 K
Now we can plug in the given values into the ideal gas law equation and solve for V:
V = nRT / P = (2.50 mol)(0.08206 L atm / mol K)(253.15 K) / (1.5 atm) = 42.6 L
Therefore, 2.50 mole of hydrogen will occupy a volume of 42.6 liters at -20°C and 1.5 atm.