Question

A student is given the question: "what is the mass of a gold bar that is 7.379 × 10–4 m3 in volume? the density of gold is 19.3 g/cm3."

The student obtains the answer through the following calculation:

answer=7.379×10^−4 m3×(100 cm/1 m​)^3. ×. 19.3 g?cm^3

What is the answer to the equation? Write your answer to the correct number of significant figures.

Answer 1

Answer: The mass of gold bar is  $1.42\times 10^4g$

Explanation:

To calculate mass of a substance, we use the equation:

$\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}$

We are given:

Density of gold bar = $19.3g/cm^3$

Volume of gold bar = $7.379\times 10^{-4}m^3=737.9cm^3$  

(Conversion factor: $1m^3=10^6cm^3$  )

Putting values in above equation, we get:

$19.3g/cm^3=\frac{\text{Mass of gold bar}}{737.9cm^3}\\\\\text{Mass of gold bar}=1.42\times 10^4g$

Hence, the mass of gold bar is $1.42\times 10^4g$

Answer 2

Answer: the answer is 1.42x10^4g

Explanation: b\7.379 × 10–4 m3 in volume? the density of gold is 19.3 g/cm3."