Question

What is the volume in mL of .00024 moles of mercury? The density of mercury is 13.6 g/mL.

Answer 1

Answer : 3.53x10⁻³ ml

Further explanation

Density : the ratio between mass and volume

Can be formulated :

`\tt \boxed{\bold{\rho=(m)/(V)}}`

ρ = density, kg/m³ or g/ml

m = mass, kg or g

V = volume = m³ or ml

While mol : dividing mass with molar mass(MW=molecular weight)

`\tt n=(mass)/(MW)`

n= mol

mass = grams

MW = molecular weight ,g/mol

Known

moles : 0.00024 moles of Mercury(Hg)

MW of Hg = 200,59 g/mol

so the mass of Mercury :

`\tt mass=moles* MW\\\\mass=0.00024* 200,59\\\\mass=0.048~g`

Because the density of Mercury is 13.6 g/mL, then the volume :

`\tt V=(mass)/(density)\\\\V=(0.048~g)/(13.6~g/ml)\\\\V=\boxed{\bold{3.53* 10^(-3)ml}}`