A 50 ml mixture of nitrogen and hydrogen contains 20 ml of nitrogen. Calculate the volume fraction (φ)

A 50 ml mixture of nitrogen and hydrogen contains 20 ml of nitrogen. Calculate the volume fraction (φ) of hydrogen in this mixture.

Given:

V (mixture) = 50 ml,

V (gas) = 20 ml.

φ (gas) =?

Decision :

φ (gas) = V (gas) / V (mixture) × 100%.

Let’s find the volume of hydrogen in a mixture of gases.

50 ml – 20 ml = 30 ml.

φ (gas) = (30 ml: 50 ml) × 100% = 60%.

Or:

50 ml – 100%,

30 ml – x%.

x = (30 x 100): 50 = 60.

Answer: the volume fraction of hydrogen is 60%.