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.

`(V_1)/(T_1)=(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.