Respuesta :
Answer:
600 cm^3
Explanation:
V1/T1 = V2/T2
300/300 = V2 * 600
V2 = 600 cm^3
This is an exercise in the law of Jackes Alejandro Charles.
To start solving this exercise, we obtain the following data:
Data:
- V₁ = 300 cm³
- T₁ = 300 k
- V₂ = ¿?
- T₂ = 600 km
If the temperature doubles the volume doubles; If the temperature is halved, the volume is halved.
"Mathematically this law expresses itself"
[tex]\bf{\dfrac{V_{1}}{T_{1}}=\dfrac{V_{2}}{T_{2}} \qquad \ in \ where: }[/tex]
- V₁= Initial volume
- V₂ = Final volume
- T₁ = Initial temperature
- T₂ = Final temperature
We can also express it: V₁T₂=V₂T₁
Clear for "V₂":
[tex]\bf{V_{2}=\dfrac{V_{1}T_{2}}{T_{1}} \ \ \to \ \ \ Clear \ formula }[/tex]
We clear our data in the formula:
[tex]\bf{V_{2}=\dfrac{(300 \ cm^{3})(600 \not{k}) }{300 \not{K}} }[/tex]
[tex]\bf{V_{2}=600 \ cm^{3} }[/tex]
The new volume of the balloon will be 600 cm³.
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