The total density of the mixture is 0.485 g/cm^3
What is density:
The formula of density:
here,
volume of water, v1 = 30 cm^3
volume of ethanol, v2 = 40 cm^3
density of water, ρ1 = 1 g/cm^3
density of ethanol, ρ2 = 0.85 g/cm^3
so, according to formula,
for water
ρ1 = m1 / v1
m1 = ρ1 * v1
m1 = (1) * (30)
m1 = 30 grams
for ethanol
ρ2 = m2 / v2
m2 = ρ2 * v2
m2 = (0.85) * (40c)
m2 = 34 grams
total mass, M= m1 + m2
M= 30 + 34
M= 64 grams
total volume, V= v1 + v2
V= 30 + 40
V= 70 g/cm^3
Density of the mixture:
ρ = M / V
ρ = 34 / 70
ρ = 0.485 g/cm^3
Hence The total density of the mixture is 0.485 g/cm^3
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