a sample of air occupies 2.50 L at a temperature of 22.0c . what volume will this sample will this occupy inside a hot air baloon at a temperature of 43.0c assume that the pressure inside the balloon remains constant.

Respuesta :

V1/T1= V2/T2   V =volume T= temp (in kelvin unit) 

2.5/(22+273)=V2/(43+273)
V2=2.7L

Answer:

The volume occupied by the air inside the hot balloon is 2.67 L.

Explanation:

Initial volume of the balloon =[tex]V_1= 2.50 L[/tex]

Initial temperature of the air inside the balloon [tex]T_1= 22.0 °C = 295 K[/tex]

Final volume of the balloon = [tex]V_2[/tex]

Final temperature of the air inside the balloon =[tex]T_2= 43.0 °C = 316 K[/tex]

Using Charles law:

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

[tex]V_2=\frac{V_1\times T_2}{T_1}=\frac{2.50 L\times 316 K}{295 K}=2.67 L[/tex]

The volume occupied by the air inside the hot balloon is 2.67 L.