contestada

The volume of a gas varies inversely as the pressure and directly as the temperature (in degrees Kelvin). If acertain gas occupies a volume of 2.2 liters at a temperature of 340 K and a pressure of 16 newtons per squarecentimeter, find the volume when the temperature is 408 K and the pressure is 24 newtons per squarecentimeter.

Respuesta :

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!