219k views
9 votes
How many moles are in 23.9 grams of titanium

User Izaban
by
2.8k points

2 Answers

10 votes

Answer:


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

Step-by-step 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.


(47.87 \ g \ Ti)/( 1 \ mol \ Ti)

Multiply by the given number of grams: 23.9


23.9 \ g\ Ti *(47.87 \ g \ Ti)/( 1 \ mol \ Ti)

Flip the fraction so the grams of titanium cancel out.


23.9 \ g\ Ti *( 1 \ mol \ Ti)/(47.87 \ g \ Ti)


23.9 *( 1 \ mol \ Ti)/(47.87 )


( 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.

User Robshearing
by
3.5k points
3 votes

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

Step-by-step 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((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

User Arunakiran Nulu
by
3.3k points