Questions: A piece of sodium metal is submerged in mineral oil for storage. The sodium displaces 10.7 cubic centimeters of mineral oil. If the density of sodium metal is 0.972 g / cm^3, what is the mass in grams of the submerged piece?

Solution Steps

We are given:

• Volume of sodium metal, \( V = 10.7 \, \text{cm}^3 \)
• Density of sodium metal, \( \rho = 0.972 \, \text{g/cm}^3 \)

The formula to find mass using density and volume is: \[ \text{mass} = \text{density} \times \text{volume} \]

Substitute the given values into the formula: \[ \text{mass} = 0.972 \, \text{g/cm}^3 \times 10.7 \, \text{cm}^3 \]

Perform the multiplication: \[ \text{mass} = 0.972 \times 10.7 = 10.4004 \, \text{g} \]

Round the result to four significant digits: \[ \text{mass} = 10.40 \, \text{g} \]

Final Answer