Question

arrange the following substances from least dense to most dense.
most dense
box
least dense
answer bank
water (d = 0.998 g/ml)
magnesium (d = 1.74 g/ml)
mercury (d = 13.53 g/ml)
methanol (d = 0.792 g/ml)
iron (d = 7.87 g/ml)

Explanation:

Step1: List the densities

Methanol: \( d = 0.792 \, \text{g/mL} \)
Water: \( d = 0.998 \, \text{g/mL} \)
Magnesium: \( d = 1.74 \, \text{g/mL} \)
Iron: \( d = 7.87 \, \text{g/mL} \)
Mercury: \( d = 13.53 \, \text{g/mL} \)

Step2: Order by density (least to most)

Compare the density values. The smallest density is methanol (\( 0.792 \)), then water (\( 0.998 \)), then magnesium (\( 1.74 \)), then iron (\( 7.87 \)), and the largest is mercury (\( 13.53 \)).

Answer:

Least dense: methanol (\( d = 0.792 \, \text{g/mL} \)) → water (\( d = 0.998 \, \text{g/mL} \)) → magnesium (\( d = 1.74 \, \text{g/mL} \)) → iron (\( d = 7.87 \, \text{g/mL} \)) → Most dense: mercury (\( d = 13.53 \, \text{g/mL} \))

(When arranging in the box from least to most dense, the order from bottom (least dense) to top (most dense) is: methanol, water, magnesium, iron, mercury)