Answer : 3.53x10⁻³ ml
Further explanation
Density : the ratio between mass and volume
Can be formulated :
[tex]\tt \boxed{\bold{\rho=\dfrac{m}{V}}}[/tex]
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)
[tex]\tt n=\dfrac{mass}{MW}[/tex]
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 :
[tex]\tt mass=moles\times MW\\\\mass=0.00024\times 200,59\\\\mass=0.048~g[/tex]
Because the density of Mercury is 13.6 g/mL, then the volume :
[tex]\tt V=\dfrac{mass}{density}\\\\V=\dfrac{0.048~g}{13.6~g/ml}\\\\V=\boxed{\bold{3.53\times 10^{-3}ml}}[/tex]
