440 torr
General Formulas and Concepts:
Chemistry
Ideal Gas Law
Boyle's Law: P₁V₁ = P₂V₂
P₁ is pressureV₁ is volumeP₂ is new pressureV₂ is new volume
Math
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Explanation:
Step 1: Define
Identify
[Given] V₁ = 1.25 L
[Given] P₁ = 760 torr
[Given] V₂ = 2.15 L
[Solve] P₂
Step 2: Solve for P₂
Substitute in variables [Boyle's Law]: (760 torr)(1.25 L) = P₂(2.15 L)Multiply: 950 torr · L = P₂(2.15 L)[Division Property of Equality] Divide 2.15 L on both sides: 441.86 torr = P₂Rewrite: P₂ = 441.86 torr
Step 3: Check
Follow sig fig rules and round. We are given 2 sig figs as our lowest.
441.86 torr ≈ 440 torr