Ideal Gas Law Tutorial
Ideal Gas Law Tutorial
Ideal Gas Law:
The ideal gas law is the equation of state of a hypothetical ideal gas.It obeys Boyle's Law and Charles Law.
Ideal Gas Law Formula :
General Gas Equation: PV = nRT
Pressure(P) = nRT / V
Volume(V) = nRT / P
Temperature(T) = PV / nR
Moles of Gas(n) = PV / RT
where,
P = pressure,
V = volume,
n = moles of gas,
T = temperature,
R = 8.314 J K-1 mol-1, ideal gas constant.
Ideal Gas Law Example:
Case 1: Find the volume from the 0.250 moles gas at 200kpa and 300K temperature.P = 200 kPa, n = 0.250 mol, T = 300K, R = 8.314 J K
-1 mol
-1
Step 1:
Substitute the values in the below volume equation: Volume(V) = nRT / P
= (0.250 x 8.314 x 300) / 200
= 623.55 / 200
Volume(V) = 3.12 L
This example will guide you to calculate the volume manually.
Case 2: Find the temperature from the 250ml cylinder contaning 0.50 moles gas at 153kpa.V = 250ml -> 250 / 1000 = 0.250 L, n = 0.50 mol, P = 153 kPa, R = 8.314 J K-1 mol-1
Step 1:
Substitute the values in the below temperature equation: Temperature(T) = PV / nR
= (153 x 0.250) / (0.50 x 8.314)
= 38.25 / 4.16
Temperature(T) = 9.2 K
This example will guide you to calculate the temperature manually.
This tutorial will help you dynamically to find the Ideal Gas Law problems.
