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Homework Statement
A vessel contains a mix of helium and nitrogen (ideal gases). The ratio of the partial pressures is known: ##\frac{p_{N2}}{pHe} = 5##. The partial pressure is the pressure that a single component alone would exert.
Homework Equations
What is the value of ##\kappa = c_p/c_V## for the mixed gas
The Attempt at a Solution
##f_{N_2} = 5## and ##f_{He} = 3##. ##\kappa = 1 + \frac{2}{f}##
Of the mole mixture, N_2 pertains 5 times more moles than He. That means:
##\kappa = \frac{5}{6}(1 + \frac{2}{5}) + \frac{1}{6}(1 + \frac{2}{3}) ##