Q. 2.90 - An Introduction to General, Organic, and Biological Chemistry

Question

What is the density of the solid object that is weighed and submerged in the water 

Step-by-Step Solution

Answer

The solid item that is submerged in water has a density of $9.8 g/mL$

Introduction

The given is the weight of a solid object that is submerged in the water

The objective is to find the density of the solid object submerged in the water

Step 1

Any substance's density is defined as the ratio of mass to volume. As a result, a substance's density is an inherent attribute.

The solid object of $8.24 g$ is submerged in the graded cylinder containing water in this problem. $18.5 mL$ is the initial volume of water in the cylinder. After immersing an object, the volume of water is $23.1 mL$.

A given object's mass is $8.24 g$

$$\begin{gathered} Volume increased by submerging = Final volume-Initial volume \\ =23.1-18.5 \\ =4.6 mL \end{gathered}$$

.Thus, the volume of the object is $4.6 mL$

Step 2

The object's mass is $8.24 g$ with three significant figures, whereas its volume is $4.6 mL$ with two significant numbers. When performing this computation, we must take into account significant figure calculation criteria.

Density of solid object $=\frac{\text{ mass in }\mathrm{g}}{\text{ volume in }\mathrm{mL}}$

$$\begin{gathered} =\frac{8.24 g}{ 4.6 mL} \\ =1.79 g mL \end{gathered}$$

The denominator, on the other hand, has two significant figures, hence the answer should also have two significant figures.

As a result, the answer is The solid object's density.$1.8 g/ mL$

The solid item submerged in water has a density of

$1.8 g / mL$