Two liquids, Medium 1 and Medium 2, are placed in separate containers. Medium 1 has a mass of 50 g and a volume of 40 mL, while Medium 2 has a mass of 60 g and a volume of 80 mL. Which medium is more dense?

• A. Medium 2
• B. Cannot be determined from the information given
• C. Medium 1
• D. Both have the same density

Answer: (C)

Verified step by step guidance

1. Recall that density (\[\rho\]) is defined as mass divided by volume, expressed as \[\rho = \frac{m}{V}\], where \[m\] is mass and \[V\] is volume.
2. Calculate the density of Medium 1 by dividing its mass (50 g) by its volume (40 mL): \[\rho_1 = \frac{50\ \text{g}}{40\ \text{mL}}\].
3. Calculate the density of Medium 2 by dividing its mass (60 g) by its volume (80 mL): \[\rho_2 = \frac{60\ \text{g}}{80\ \text{mL}}\].
4. Compare the two densities \[\rho_1\] and \[\rho_2\] to determine which medium is more dense.
5. The medium with the higher density value is the more dense medium.