Question

a.When the temperature was increased, the volume of the gas (increased or decreased?):

Answer 1

1) Gases can be described with the formula below.

$PV=nRT\text{ }$

P = Pressure

V = Volume

n = moles

R = constant

T = Temperature

2) Compare the initial state and the final state.

Charles's law helps us to know the relation between Volume and Temperature. Moles and Pressure must be constant.

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

Let's work on an example: T1: 300K; V1: 20 L; T2: 320 K; V2:?

$\frac{20\text{ L}}{300\text{ K}}\text{ = }\frac{V_2}{320\text{ K}}$$320\text{ K }\cdot\frac{20\text{ L}}{300\text{ K}}=\frac{V_2}{320\text{ K}}\cdot320\text{ K}$

$Final\text{ volume =320 K}\cdot\frac{20\text{ L}}{300\text{ K}}=\text{ 21.3 L}$

The initial volume is 20 L and the final volume is 21.3 L. This means that the volume increased when the temperature was increased.