What is an oblique linein Math

What are the mole fraction and mole percent of sodium chloride and the mole fraction and mole percent of water in an aqueous solution containing 25.0 g water and 5.0 g sodium chloride?

Oblique lineSegment

Warning! Long Answer. Mole percent is the percentage that the moles of a particular component are of the total moles that are in a mixture.

Obliquelines in real life

#n_"NaCl" = 5.0 color(red)(cancel(color(black)("g NaCl"))) × "1 mol NaCl"/(58.44 color(red)(cancel(color(black)("g NaCl")))) = "0.086 mol NaCl"

Oblique lineDrawing

chi_1 = n_1/n_t = (1.38 color(red)(cancel(color(black)("mol"))))/(1.46 color(red)(cancel(color(black)("mol")))) = "0.942"#

Oblique lineAnatomy

#n_t = n_a + n_b + n_c + … # , where #n_t# = total number of moles #n_a# = moles of component a #n_b# = moles of component b #n_c# = moles of component c

Mole fraction #chi# (the Greek letter chi) is the number of moles of a given component of a mixture divided by the total number of moles in the mixture.

Examples ofoblique line

n_"H₂O" = 25.0 color(red)(cancel(color(black)("g H"_2"O"))) × ("1 mol H"_2"O")/(18.02 color(red)(cancel(color(black)("g H"_2"O")))) = "1.38 mol H"_2"O"

chi_2 = n_2/n_t = (0.086 color(red)(cancel(color(black)("mol"))))/(1.46 color(red)(cancel(color(black)("mol")))) = "0.058"

The sum of the mole fractions for each component in a solution is equal to 1. For a solution containing two components, solute and solvent,