Which among the following is the correct mathematical representation of Dalton's law of partial pressures?

Options

A. `P_r=x_1P_1^@ + x_2P_2^@`
B. `P_T= P_1^@ + (P_2^@ - P_1^@)x_2`
C. `P_T=(1 - x_2)P_1^@ + x_2P_2^@`
D. All of these

Answer

D

Explanation

`P_T=x_1P_1^@p+ x_2P_2^@`
`x_1 = 1 – x_2` (for binary solutions)
`P_T=(1 – x_2)P_1^@ + x_2P_2^@ = P_1^@ – x_2P_1^@ + x_2P_2^@`
`P_T= P_1^@ + (P_2^@ - P_1^@)x_2`