Answer :
Neon gas would have the largest partial pressure among the mixture of noble gases based on Dalton’s law of partial pressure and ideal gas law.
By understanding Dalton’s law of partial pressure and ideal gas law, the relationship between the mole fraction and partial pressure can be determined. Dalton’s law of partial pressure states that the total pressure of the mixture of gases is just the same as the pressures that each gas would exert if it were present alone (Chang and Goldsby, 2013).
Ideal Gas Law: P= nRT/V
Let: partial pressure = p and total pressure=P
p_neon + p_argon + p_xenon = P
(n_neon)(RT/V) + (n_argon)(RT/V) +(n_xenon)(RT/V)= (n_total)(RT/V)
Mole fraction is the dimensionless number that expresses the ratio of the number of moles of a specific substance to the number of moles of all the components. Mole fraction can also be equal to the ratio of partial pressure and total pressure.
Mole fraction of neon (x_neon) = p_neon / P
x_neon = (n_neon)(RT/V)/(n_total)(RT/V)
x_neon = (n_neon)/(n_total)
Therefore, the partial pressure of a component is directly proportional to its mole fraction. This means that the higher the mole fraction, the higher the partial pressure is.
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