Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Problem 116

The density of a certain liquid is \(1.15 \mathrm{~g} / \mathrm{mL}\). What mass in grams of the liquid is needed to fill a \(50.00\) -mL container? Do this problem by the method of algebraic manipulation, beginning with the equation density \(=\) mass/volume and showing all steps.

Short Answer

Expert verified
The mass of the liquid needed to fill the 50.00 mL container is \(57.50\mathrm{g}\).

Step by step solution

01

Write the equation for density

As we know, the formula for density is given by: density = mass/volume
02

Plug in the given values

We are given the values of density and volume. The density is 1.15 g/mL, and the volume is 50.00 mL. Now, plug these values into the density formula: \(1.15 \frac{\mathrm{g}}{\mathrm{mL}} = \frac{\mathrm{mass}}{50.00 \mathrm{mL}}\)
03

Solve for mass

To find the mass, we need to isolate the mass on one side of the equation. We will do this by multiplying both sides by the volume, which is 50.00 mL: \(1.15 \frac{\mathrm{g}}{\mathrm{mL}} * 50.00 \mathrm{mL} = \mathrm{mass}\)
04

Simplify the equation

Now, we can simplify the equation and remove any unnecessary units: \((1.15\mathrm{g}) * (50.00 /\cancel{\mathrm{mL}}) * (\cancel{\mathrm{mL}}) = \mathrm{mass}\)
05

Calculate the mass

Our equation is now in its simplest form, and we can simply multiply 1.15 g by 50.00 to find the mass. \((1.15\mathrm{g}) * (50.00) = 57.50\mathrm{g}\) So, the mass of the liquid needed to fill the 50.00 mL container is 57.50 grams.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Express \(23,000,000\) in scientific notation having: (a) Two significant figures (b) Three significant figures (c) Five significant figures (d) Six significant figures (e) Eight significant figures

Solve the equation \(y=z-x\) for \(x\).

If a graduated cylinder has markings that indicate \(0.01 \mathrm{~mL}\), what is the uncertainty in any volumes determined using this graduated cylinder?

Indicate the uncertainty in: (a) \(74.8 \mathrm{~m}\) (b) \(0.0026 \mathrm{~g}\) (c) \(1.250 \times 10^{3} \mathrm{~L}\) (d) \(18 \mathrm{~cm}\) (e) 18 pennies

True or false? If any statement is false, rewrite it to make it true. (a) When multiplying or dividing a series of measured values, the number of significant figures in the answer is determined by the measured value having the fewest significant figures. (b) When adding or subtracting a series of measured values, the number of significant figures in the answer is determined by the measured value having the fewest significant figures.
See all solutions

Recommended explanations on Chemistry Textbooks

The Earths Atmosphere

Read Explanation

Chemical Analysis

Read Explanation

Chemical Reactions

Read Explanation

Kinetics

Read Explanation

Inorganic Chemistry

Read Explanation

Organic Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free