Which is the thickest solution-1(M) of syrup or 1(m) of syrup?

Question

Jeremiah Adams · Accepted Answer

A 1 mol/L sucrose syrup is thicker (has a greater viscosity) than a 1 mol/kg solution.

It makes sense that the concentrated solution would have a higher viscosity. We need to express both concentrations in the same units in order to verify this. Calculate the molarity of a concentration that is 1 mol/kg. The molar mass of sucrose (#"C"_12"H"_22"O"_11#) is 342 g/mol. One kilogram of water and 342 grams of sucrose make up a 1 mol/kg solution. The density #ρ# of the solution is 1.106 g/mL, so the volume is #V = 1342 color(red)(cancel(color(black)("g"))) × "1 mL"/(1.106 color(red)(cancel(color(black)("g")))) = "1213 mL" = "1.213 L"# #"Molarity" = "moles"/"litres" = "1 mol"/"1.213 L" = "0.824 mol/L"# The concentration of a sucrose solution at 1 mol/kg is 0.824 mol/L. In summary: A 1 mol/L solution of sucrose ought to be thicker because it is more concentrated than a 1 mol/kg solution. (Verification: A 1 mol/kg solution's viscosity is 2.52 times that of water, while a 1 mol/L solution's viscosity is 3.26 times that of water.)

Ellie Andrews · Answer

undefined The thickest solution would be 1(M) of syrup, as it indicates a higher concentration of syrup compared to 1(m) of syrup.