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# 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.