Multiple choice

Water of density $4 kg/m^3$ and ice of density $3 kg/m^3$ are mixed together. If their masses are equal then the density of mixture is

  1. $\dfrac{8}{3}kg\,/ m^3$
  2. $\dfrac{7}{3}kg\,/ m^3$
  3. $\dfrac{24}{7}kg\,/ m^3$
  4. $\dfrac{2}{3}kg\,/ m^3$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Density = Total Mass / Total Volume. Let mass of each be m. Volume_water = m/4, Volume_ice = m/3. Total mass = 2m. Total volume = m/4 + m/3 = 7m/12. Density = 2m / (7m/12) = 24/7.

AI explanation

Using the formula for equal masses, the density of the mixture is the harmonic mean of the two densities: 2 multiplied by the product of the densities divided by their sum. Substituting the given values of 4 kg/m^3 and 3 kg/m^3 gives 2 multiplied by 12, which equals 24, divided by 7. The density of the mixture is 24/7 kg/m^3.

Keep practicing — related questions