How many quarts does a mass of #1.50xx10^3*g# of ethanol represent?

1 Answer
anor277
Jan 23, 2017

Well, first we work out the volume of the ethanol.........and get an approximate volume of #2*"quart"#

Explanation:

#"Density, "rho="Mass"/"Volume"#.

And thus #"Volume"# #=# #"Mass"/rho=(1.50xx10^3*cancelg)/(0.79*cancelg*mL^-1)#

#=1898.7*mL=1.899*L# (this is consistent dimensionally, because the grams cancel out and we are left with units of #1/(1/(mL))=mL# as required.)

Now #"1 US quart"=0.946*L#,

so #(1.899*L)/(0.946*L*"quart"^-1)~="2 quart"#

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