Question

*91. a tank measuring 28.6 cm by 73.0 mm by 0.72 m is filled with olive oil. the oil in the tank has a mass of 1.38 × 10^4 g. what is the density of olive oil in kilograms per liter?

Explanation:

Step1: Convert dimensions to meters

$28.6\ cm = 0.286\ m$, $73.0\ mm=0.073\ m$

Step2: Calculate volume of tank

$V = 0.286\times0.073\times0.72\ m^{3}=0.0150\ m^{3}$

Step3: Convert volume to liters

Since $1\ m^{3}=1000\ L$, $V = 0.0150\times1000 = 15.0\ L$

Step4: Convert mass to kilograms

$1.38\times 10^{4}\ g=13.8\ kg$

Step5: Calculate density

$
ho=\frac{m}{V}=\frac{13.8\ kg}{15.0\ L}=0.92\ kg/L$

Answer:

$0.92\ kg/L$