Question

A sample of Nitrogen gas has a volume of 80.0 L at STP . If the temperature is held Constant what will the volume be at a pressure of 150 kPa?

Answer 1

The final volume of the Nitrogen gas is 54.03 L.

Step-by-step explanation:

Given;

initial volume of the Nitrogen gas, V₁ = 80 L

initial pressure of the Nitrogen gas, (at STP), P₁ = 101.3 kPa

final pressure of the Nitrogen gas, P₂ = 150 kPa

If the temperature is held constant, apply Boyle's law to determine the final volume of the Nitrogen gas.

V₁P₁ = V₂P₂

`V_2 = (V_1P_1)/(P_2) \\\\V_2 = ((80 \ L)(101.3 \ kPa))/(150 \ kPa) \\\\V_2 = 54.03 \ L`

Therefore, the final volume of the Nitrogen gas is 54.03 L.