Respuesta :

Space

Answer:

0.499 mol Ti

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Chemistry

Atomic Structure

  • Reading a Periodic Table

Stoichiometry

  • Using Dimensional Analysis

Explanation:

Step 1: Define

23.9 g Ti (Titanium)

Step 2: Identify Conversions

[PT] Molar Mass of Ti - 47.88 g/mol

Step 3: Convert

  1. [Dimensional Analysis] Set up:                                                                     [tex]\displaystyle 23.9 \ g \ Ti(\frac{1 \ mol \ Ti}{47.88 \ g \ Ti})[/tex]
  2. [Dimensional Analysis] Multiply/Divide [Cancel out units]:                         [tex]\displaystyle 0.499165 \ mol \ Ti[/tex]

Step 4: Check

Follow sig fig rules and round. We are given 3 sig figs.

0.499165 mol Ti ≈ 0.499 mol Ti

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Answer:

[tex]\boxed {\boxed {\sf About \ 0.499 \ grams \ of \ Titanium}}[/tex]

Explanation:

To convert from grams to moles, we must use the molar mass, which can be found on the Periodic Table.

  • Titanium (Ti): 47.87 g/mol

Use this number as a fraction.

[tex]\frac{47.87 \ g \ Ti}{ 1 \ mol \ Ti}[/tex]

Multiply by the given number of grams: 23.9

[tex]23.9 \ g\ Ti *\frac{47.87 \ g \ Ti}{ 1 \ mol \ Ti}[/tex]

Flip the fraction so the grams of titanium cancel out.

[tex]23.9 \ g\ Ti *\frac{ 1 \ mol \ Ti}{47.87 \ g \ Ti}[/tex]

[tex]23.9 *\frac{ 1 \ mol \ Ti}{47.87 }[/tex]

[tex]\frac{ 23.9 \ mol \ Ti}{47.87 }[/tex]

Divide.

[tex]0.499268853 \ mol \ Ti[/tex]

The original measurement had 3 significant figures, so our answer must have the same. For the number we calculated, that is is the thousandth place. The 2 in the ten thousandth place tells us to keep the 9.

[tex]0.499 \ mol \ Ti[/tex]

There are 0.499 moles of titanium in 23.9 grams.

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