Question

How many moles are in 23.9 grams of titanium

Answer 1

Answer:

$\boxed {\boxed {\sf About \ 0.499 \ grams \ of \ Titanium}}$

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.

$\frac{47.87 \ g \ Ti}{ 1 \ mol \ Ti}$

Multiply by the given number of grams: 23.9

$23.9 \ g\ Ti *\frac{47.87 \ g \ Ti}{ 1 \ mol \ Ti}$

Flip the fraction so the grams of titanium cancel out.

$23.9 \ g\ Ti *\frac{ 1 \ mol \ Ti}{47.87 \ g \ Ti}$

$23.9 *\frac{ 1 \ mol \ Ti}{47.87 }$

$\frac{ 23.9 \ mol \ Ti}{47.87 }$

Divide.

$0.499268853 \ mol \ Ti$

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.

$0.499 \ mol \ Ti$

There are 0.499 moles of titanium in 23.9 grams.

Answer 2

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

Step 4: Check

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

0.499165 mol Ti ≈ 0.499 mol Ti