Answer:
1.77 L
Explanation:
The volume can be found using the following equation:
[tex] V = \frac{k*T}{P} [/tex]
Where:
k: is a constant
T: is the temperature
P: is the pressure
With the values given:
V = 2.2 L
T = 340 K
P = 16 N/cm²
We can find the constant k:
[tex]k = \frac{PV}{T} = \frac{16 N/cm^{2}*2.2 L}{340 K} = 0.104 N*L*K^{-1}*cm^{-2}[/tex]
Now ,we can find the volume when:
T = 408 K
P = 24 N/cm²
[tex]V = \frac{k*T}{P} = \frac{0.104 N*L*K^{-1}*cm^{-2}*408 K}{24 Ncm^{-2}} = 1. 77 L[/tex]
Therefore, the volume is 1.77 L.
I hope it helps you!