Answer:
The new temperature is 1596 C.
Explanation:
Charles's Law indicates that for a given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases, and as the temperature decreases, the volume of the gas decreases.
Statistically, Charles's law is a law that says that when the amount of gas and pressure are kept constant, the ratio that exists between the volume and the temperature will always have the same value:
[tex]\frac{V}{T}=k[/tex]
Being an initial state 1 and a final state 2, it is fulfilled:
[tex]\frac{V1}{T1}=\frac{V2}{T2}[/tex]
In this case:
- V1= 25 L
- T1= 350 C= 623 K (being 0 C= 273 K)
- V2= 75 L
- T2= ?
Replacing:
[tex]\frac{25 L}{623 K} =\frac{75 L}{T2}[/tex]
Solving:
[tex]T2*\frac{25 L}{623 K} =75 L[/tex]
[tex]T2=75 L*\frac{623 K}{25 L}[/tex]
T2= 1869 K= 1596 C
The new temperature is 1596 C.
