Question

A large balloon used to sample the upper atmosphere is filled with 525 m3 of hydrogen. What is the mass of the hydrogen (in kg)?

Answer 1

We can find the mass of the hydrogen from the definition of the density:

$$\rho = \dfrac{m}{V},$$

here, $\rho = 0.089 kg/m^3$ is the density of the hydrogen at standard temperature and pressure, $m$ is the mass of the hydrogen and $V = 525 m^3$ is the volume occupied by the hydrogen.

Then, from this formula we can find the mass of the hydrogen:

$$m = \rho V = 0.089 \dfrac{kg}{m^3} \cdot 525 m^3 = 47 kg.$$

Answer:

$m = 47 kg.$