Consider a gas at tmperature T occupying a volume V consisting of a mixture of two gases having. `N_a & N_b` atoms of masses `m_a & m_b` respsectively.
Give an expression for the total pressure exerted by the gas

Options

A. `((N_a + N_b)kT)/(V)`
B. `(1.5(N_a + N_b)kT)/(V)`
C. `((N_a +N_b)RT)/(V)`
D. none

Answer

A

Explanation

` P = (nRT)/(V)`, where n `=` number of moles of all gases
`therefore n = (N_a + N_b)/(N)`, N = Avogadro number
`P= ((N_a+N_b))/(N)(RT)/(V) = (N_a + N_b)/(V)(R)/(N)T=((N_a+N_b)kT)/(V)`