Question

If the pressure exerted on a 300.0 mL sample of hydrogen gas at constant temperature is increased from 0.500 kPa to 0.750 kPa, what will be the final volume of the sample?

Answer 1

200 mL

Step-by-step explanation:

Given that,

Initial volume, V₁ = 300 mL

Initial pressure, P₁ = 0.5 kPa

Final pressure, P₂ = 0.75 kPa

We need to find the final volume of the sample if pressure is increased at constant temperature. It is based on Boyle's law. Its mathematical form is given by :

`V\propto (1)/(P)\\\\P_1V_1=P_2V_2`

V₂ is the final volume

`V_2=(P_1V_1)/(P_2)\\\\V_2=(300* 0.5)/(0.75)\\\\V_2=200\ mL`

So, the final volume of the sample is 200 mL.