Gas Law Problem: Volume Calculation at STP

Calculation of Volume of Hydrogen Gas at STP

47.9 ml hydrogen is collected at 26° Celsius and 718 torr. Find the volume occupied at STP

Applying the general gas equation,

PV/T = P'V'/T' ............... Equation 1

Where P = Initial pressure of hydrogen, V = Initial volume of hydrogen, T= Initial Temperature of hydrogen, P' = Final pressure of hydrogen, V' = Final Volume of Hydrogen, T' = Final Temperature.

Let's make V' the subject of the equation,

V' = PVT'/TP' ................ Equation 2

Given: P = 718 torr = (718×133.322) N/m² = 95725.196 N/m², V = 47.9 mL = 0.0479 dm³, T = 26 °C = (26+273) = 299 K, T' = 273 K, P' = 101000 N/m²

Substitute these values into equation 2,

V' = (95725.196×0.0479×273) / (299×101000)

V' = 0.04145 dm³

Therefore, the volume occupied by hydrogen gas at STP is 41.45 mL.

This calculation shows the application of gas laws in determining the volume of a gas when the initial conditions are given.

How is the volume of hydrogen gas at STP calculated in this scenario?

The volume of hydrogen gas at STP is calculated using the general gas equation by rearranging it to solve for the final volume (V') in terms of the initial pressure, volume, and temperature of the gas, as well as the final pressure and temperature at STP.