The density of mercury metal #13.6# #g#/#cm^3#. How many lbs would a #5.0# #L# container of mercury weigh?

2 Answers
Dec 6, 2015

Answer:

That's a lot of mass, 68 kg, 150 odd pounds? Quite probably it exceeds your own mass.

Explanation:

There are #0.454*lb*(kg^-1)# so #2.203*kg*(lb^-1)#, and #1*cm^3 = 1*mL#

So we just do the conversion:

#5.0*cancel(L)xx1000*cancel(cm^3)cancel(L^-1)xx13.6*g*cancel(cm^-3)# #=# #??g#;

; #??cancel(g)xx10^(-3)cancel(kg)*cancel(g^-1)xx(2.203)lb*cancel(kg^-1)#

#=# #??# #lb#

Dec 6, 2015

Answer:

#"5.0 L Hg"# weighs #"150 lb Hg"#.

Explanation:

First convert liters to cubic centimeters since the density is given in #"g/cm"^3"#. Use #""5.0xx10^3 "cm"^3"# to represent two significant figures using scientific notation.

#5.0cancel"L"xx(1000"mL")/(1cancel"L")xx(1"cm"^3)/(1cancel"mL")=5.0xx10^3 "cm"^3 "Hg"#

Next use the density and given volume to determine the grams of Hg.

#5.0xx10^3cancel("cm"^3 "Hg")xx(13.6"g Hg")/(1cancel("cm"^3 "Hg"))="68000 g Hg"#

Convert mass in grams to weight in pounds.

#"1 lb=453.592 g"#

#68000cancel"g Hg"xx(1"lb Hg")/(453.592cancel"g Hg")="150 lb Hg"#