When two liquid of same mass but different densities are mixed?
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If depends on the liquids. You could easily get solid, or an explosion and a cloud of gas, but that's probably not what the question was about.
density = mass / volume
d1 = m / v1
d2 = m / v2
After mixing the mass is 2m. the volume is v1 + v2 (but for almost all real liquids it will be different, even if they don't react chemically).
If the density of the mixture = d,
d = 2m / (v1 + v2)
d(v1 + v2) = 2m
d(m/d1 + m/d2) = 2m
1/d1 + 1/d2 = 2/d
d = 2d1d2/(d1 + d2)
density = mass / volume
d1 = m / v1
d2 = m / v2
After mixing the mass is 2m. the volume is v1 + v2 (but for almost all real liquids it will be different, even if they don't react chemically).
If the density of the mixture = d,
d = 2m / (v1 + v2)
d(v1 + v2) = 2m
d(m/d1 + m/d2) = 2m
1/d1 + 1/d2 = 2/d
d = 2d1d2/(d1 + d2)
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