Respuesta :
3.75 litres is the volume of the balloon indoors at a temperature of 25°C.
Explanation:
Data given:
initial temperature of the gas in balloon = -35°C or 238.15 K
initial volume = 3 litres
final temperature = 25 °C or 298.15 K
final volume =?
pressure remains constant
From the data given when pressure is constant Charles' law is applied.
[tex]\frac{V1}{T1}[/tex] = [tex]\frac{V2}{T2}[/tex]
Rearranging the equation to know the final volume of the gas in balloon
V2 = [tex]\frac{V1T2}{T1}[/tex]
V2 = [tex]\frac{3 X 298.15}{238.15}[/tex]
V2 = 3.75 Litres
when the temperature of a gas is increased and pressure remains constant the volume of the gas increases.
The Volume of the balloon indoors in increased by 3.8 L.
Explanation:
As per the Charles law, at constant pressure the volume of the gas is in direct proportion with the temperature measured in Kelvin. As temperature increases, the volume expands that is increases and vice-versa.
[tex]$\frac{V1}{T1} = \frac{V2}{T2}[/tex]
T1 = -35° C + 273 K = 238 K
T2 = 25° C + 273 K = 298 K
V1 and T1 are the Volume and the temperature of the balloon inflated outdoors.
V2 and T2 are the Volume and the temperature of the balloon inflated indoors.
V2 can be found by rearranging the above equation as,
[tex]$V2 = \frac{V1 T2}{T1}\\[/tex]
[tex]$V2 = \frac{3 L \times 298 K}{238 K}[/tex]
= 3.8 L
So the Volume of the balloon indoors in increased by 3.8 L.
