Find P2 if a gas changes from 25 oC and 87 kPa to 50 oC.

P₂ ≈ 80 kPa

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Equality Properties

Chemistry

Unit 0

Temperature Conversion: K = °C + 273.15

Gas Laws

Gay-Lussac's Law:

P is pressureT is temperature (in Kelvins)Explanation:

Step 1: Define

P₁ = 87 kPa

T₁ = 50 °C

T₂ = 25 °C

P₂ = ?

Step 2: Identify Conversions

Kelvin Temp Conversion

Step 3: Convert

T₁ - 50 °C + 273.15 = 323.15 K

T₂ - 25 °C + 273.15 = 298.15 K

Step 4: Solve for P₂

Substitute [GLL]:                    Cross-multiply:                      Isolate P₂:                              Rewrite:                                

Step 5: Check

We are given 1 sig fig as our lowest. Follow sig fig rules and round.

80.2694 kPa ≈ 80 kPa

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