/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 Write the empirical formula corr... [FREE SOLUTION] | 91影视

91影视

Write the empirical formula corresponding to each of the following molecular formulas: (a) \(\mathrm{Al}_{2} \mathrm{Br}_{6}\) (b) \(\mathrm{C}_{\mathrm{s}} \mathrm{H}_{10}\) (c) \(\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{2}\) (d) \(\mathrm{P}_{4} \mathrm{O}_{10}\) (e) \(\mathrm{C}_{6} \mathrm{H}_{4} \mathrm{Cl}_{2}\) (f) \(\mathrm{B}_{3} \mathrm{~N}_{3} \mathrm{H}_{6}\).

Short Answer

Expert verified
The empirical formulas for the given molecular formulas are: (a) \(\mathrm{AlBr}_{3}\) (b) \(\mathrm{CsH}_{10}\) (c) \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}\) (d) \(\mathrm{P}_{2} \mathrm{O}_{5}\) (e) \(\mathrm{C}_{6} \mathrm{H}_{4} \mathrm{Cl}_{2}\) (f) \(\mathrm{BNH}_{2}\)

Step by step solution

01

a) Al鈧侭r鈧 Empirical Formula:

Divide each subscript by the greatest common divisor. In this case, the greatest common divisor for both Al and Br is 2. \(\mathrm{Al}_{2} \mathrm{Br}_{6}\) 鈫 \(\frac{\mathrm{Al}}{2} \frac{\mathrm{Br}}{3}\) 鈫 \(\mathrm{AlBr}_{3}\) The empirical formula for \(\mathrm{Al}_{2} \mathrm{Br}_{6}\) is \(\mathrm{AlBr}_{3}\).
02

b) CsH鈧佲個 Empirical Formula:

The greatest common divisor for Cs and H is 1. \(\mathrm{CsH}_{10}\) 鈫 \(\mathrm{CsH}_{10}\) The empirical formula for \(\mathrm{CsH}_{10}\) is the same as the molecular formula, \(\mathrm{CsH}_{10}\).
03

c) C鈧凥鈧圤鈧 Empirical Formula:

Divide each subscript by the greatest common divisor, which is 2 for C, H, and O. \(\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{2}\) 鈫 \(\frac{\mathrm{C}}{2} \frac{\mathrm{H}}{4} \frac{\mathrm{O}}{1}\) 鈫 \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}\) The empirical formula for \(\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}_{2}\) is \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}\).
04

d) P鈧凮鈧佲個 Empirical Formula:

Divide each subscript by the greatest common divisor, which is 2 for P and O. \(\mathrm{P}_{4} \mathrm{O}_{10}\) 鈫 \(\frac{\mathrm{P}}{2} \frac{\mathrm{O}}{5}\) 鈫 \(\mathrm{P}_{2} \mathrm{O}_{5}\) The empirical formula for \(\mathrm{P}_{4} \mathrm{O}_{10}\) is \(\mathrm{P}_{2} \mathrm{O}_{5}\).
05

e) C鈧咹鈧凜l鈧 Empirical Formula:

The greatest common divisor for C, H, and Cl is 1. \(\mathrm{C}_{6} \mathrm{H}_{4} \mathrm{Cl}_{2}\) 鈫 \(\mathrm{C}_{6} \mathrm{H}_{4} \mathrm{Cl}_{2}\) The empirical formula for \(\mathrm{C}_{6} \mathrm{H}_{4} \mathrm{Cl}_{2}\) is the same as the molecular formula, \(\mathrm{C}_{6} \mathrm{H}_{4} \mathrm{Cl}_{2}\).
06

f) B鈧僋鈧僅鈧 Empirical Formula:

Divide each subscript by the greatest common divisor, which is 3 for B, N, and H. \(\mathrm{B}_{3} \mathrm{N}_{3} \mathrm{H}_{6}\) 鈫 \(\mathrm{B}_{1} \mathrm{N}_{1} \mathrm{H}_{2}\) 鈫 \(\mathrm{BNH}_{2}\) The empirical formula for \(\mathrm{B}_{3} \mathrm{N}_{3} \mathrm{H}_{6}\) is \(\mathrm{BNH}_{2}\).

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Molecular Formula
The molecular formula of a compound provides the specific number of each type of atom present in a molecule. This formula is crucial in chemistry as it offers insight into the actual structure and composition of the compound. For example, the molecular formula for ethylene glycol is \( \mathrm{C}_4\mathrm{H}_8\mathrm{O}_2 \). This tells us that each molecule of ethylene glycol contains four carbon atoms, eight hydrogen atoms, and two oxygen atoms.

Understanding molecular formulas helps in predicting the types of chemical reactions the compound can participate in. It's like a detailed recipe that specifies the exact ingredients (atoms) and their quantities needed to create the compound.
  • Specifies the kind and number of atoms in a molecule.
  • Gives insight into the potential interactions and compound properties.
  • Important for understanding chemical behavior and reactions.
Chemistry Problem-Solving
Approaching a chemistry problem requires a systematic method where each step builds upon the previous. Starting with analyzing the molecular formula is critical because it establishes a foundation to derive the empirical formula. Let鈥檚 consider how to solve such problems efficiently:

1. **Determine the Molecular Formula**: Identify given values for each element in the compound. This is the starting point, like knowing the ingredients before making a recipe.
2. **Find the Greatest Common Divisor (GCD)**: Determine the GCD of the subscripts in the molecular formula to identify how many numbers divide into each subscript evenly. This is akin to finding a common factor in math, easing simplification.
3. **Simplify using the GCD**: Divide each subscript by the GCD to reach the simplest ratio of atoms in the compound, which forms the empirical formula.

By applying these steps, students can consistently solve chemistry problems, developing problem-solving skills that improve with practice.
Chemical Subscripts Reduction
Reducing chemical subscripts is a key step in converting a molecular formula into an empirical formula. This involves simplifying the ratios of atoms to the smallest possible integers, providing a more straightforward representation of a compound.

Consider the example of \( \mathrm{C}_4\mathrm{H}_8\mathrm{O}_2 \):
  • The molecular formula has subscripts 4, 8, and 2 for carbon, hydrogen, and oxygen, respectively.
  • Here, the greatest common divisor is 2.
  • Dividing each subscript by 2 gives \( \mathrm{C}_2\mathrm{H}_4\mathrm{O} \).
This reduction from \( \mathrm{C}_4\mathrm{H}_8\mathrm{O}_2 \) to \( \mathrm{C}_2\mathrm{H}_4\mathrm{O} \) provides the empirical formula, representing the simplest whole-number ratio of atoms in the compound.

This process may seem repetitive but is crucial for standardizing chemical formulas across different compounds. Whether you are working with complex biological molecules or simple inorganic compounds, mastering chemical subscripts reduction is always beneficial.

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

Mass spectrometry is more often applied to molecules than to atoms. We will see in Chapter 3 that the molecular weight of a molecule is the sum of the atomic weights of the atoms in the molecule. The mass spectrum of \(H_{2}\) is taken under conditions that prevent decomposition into H atoms. The two naturally occurring isotopes of hydrogen are \({ }^{1} \mathrm{H}\) (atomic mass \(=1.00783\) amu; abundance \(99.9885 \%\) ) and \({ }^{2} \mathrm{H}\) (atomic mass \(=2.01410\) amu; abundance 0.0115\%). (a) How many peaks will the mass spectrum have? (b) Give the relative atomic masses of each of these peaks. (c) Which peak will be the largest, and which the smallest?

Give the chemical formula for each of the following ionic compounds: (a) sodium phosphate, (b) zinc nitrate, (c) barium bromate, (d) iron(II) perchlorate, (e) cobalt(II) hydrogen carbonate, (f) chromium(III) acetate, \((\mathrm{g})\) potassium dichromate.

Name each of the following oxides. Assuming that the compounds are ionic, what charge is associated with the metallic element in each case? (a) NiO, (b) \(\mathrm{MnO}_{2}\) (c) \(\mathrm{Cr}_{2} \mathrm{O}_{3}\) (d) \(\mathrm{MoO}_{3}\).

Write the correct symbol, with both superscript and subscript, for each of the following. Use the list of elements inside the front cover as needed: (a) the isotope of platinum that contains 118 neutrons, (b) the isotope of krypton with mass number 84, (c) the isotope of arsenic with mass number \(75,(\mathrm{~d})\) the isotope of magnesium that has an equal number of protons and neutrons.

Answer the following questions without referring to Table 2.1: (a) What are the main subatomic particles that make up the atom? (b) What is the relative charge (in multiples of the electronic charge) of each of the particles? (c) Which of the particles is the most massive? (d) Which is the least massive?

See all solutions

Recommended explanations on Chemistry Textbooks

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.