Respuesta :
This is a Charles' Law problem: V1/T1 = V2/T2. As the temperature of a fixed mass of gas decreases at a constant pressure, the volume of the gas should also decrease proportionally.
To use Charles' Law, the temperature must be in Kelvin (x °C = x + 273.15 K). We want to solve Charles' Law for V2, which we can obtain by rearranging the equation into V2 = V1T2/T1. Given V1 = 25 L, T1 = 1200 °C (1473.15 K), and T2 = 25 °C (298.15 K):
V2 = (25 L)(298.15 K)/(1473.15 K) = 5.1 L.
The volume of this gas will be "5.1 L".
Given:
- [tex]V_1 = 25 \ L[/tex]
- [tex]T_1 = (1200+ 273 )K[/tex]
[tex]= 1473 \ K[/tex]
- [tex]T_2 = (25+ 273)K[/tex]
[tex]= 298 \ K[/tex]
As we know,
→ [tex]\frac{V_1}{V_2} = \frac{T_1}{T_2}[/tex]
By substituting the values, we get
→ [tex]\frac{25 \ L}{V_2} = \frac{1473 \ K}{293 \ K}[/tex]
→ [tex]V_2 = \frac{25\times 298}{1473} \ L[/tex]
→ [tex]= 5.1 \ L[/tex]
Learn more:
https://brainly.com/question/21437107