To a very close approximation, helium vapour is a perfect gas.
This means that the bulk modulus of helium vapour can be obtained
from the ideal gas equation. We know that PV = N k T so that P = N
k T / V. dP/dV = -N k T / V^2
The bulk modulus is defined as K = =V dP/dV , therefore K = N k
T / V.
Here, N = Avogadro's number, k = Stephan-Boltzmann constant, T
is the absolute temperature and V is the gas volume. You will
probably notice that the bulk modulus is dependent on T / V (in
other words pressure) which is exactly what we would expect.... at
higher pressure, gasses are harder to compress.