# Boyles’ Law

**Definition**: Boyle’s Law describes the relationship between Pressure (P) and Volume (V), while keeping moles (n) and Temperature (T) constant.

**Relation**: *P and V are inversely proportional* so as P increases, V decreases and vise versa:

**Equation**: P_{1}V_{1}= P_{2}V_{2}

**Example**:

A empty bottle of water is full of gas. If you would like it take up less space in your recycling bin, then you can apply pressure (↑P) and compress it (↓V), making more room for do-gooding.

**Problem**: A sample of chlorine gas occupies a volume of 946 mL at a pressure of 726 mmHg. What is the pressure of the gas (in mmHg) if the volume is reduced at constant temperature to 154 mL?

GIVEN:

V_{1}=946 ml

P_{1}=726 mmHg

P_{2}= ?

V_{2}=154 mL

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