A gas is contained in a 3.0L container at a temperature of 25°C. The gas exerts a pressure of 16 atm on the
container. If pressure is kept constant, what is the final volume of the gas if the temperature of the container is
increased to 200°C? (HS+C.P1013)
A. 5.6L
B.
4.8L
C. 1.9L
D.
24 L

Respuesta :

Answer:

4.8 Liters.

Step-by-step explanation:

When pressure is kept constant the volume of a certain quantity of gas is proportional to the absolute temperature of the gas.

So, [tex]\frac{V_{f} }{T_{f}} = \frac{V_{i} }{T_{i}}[/tex] .......... (1)

Where, f denotes the final and i denotes the initial values.

Now, [tex]V_{i} = 3[/tex] Liters,

[tex]T_{i} = 25 + 273 = 298 K[/tex] and  

[tex]T_{f} = 200 + 273 = 473 K[/tex]

Therefore, from equation (1) we get,

[tex]V_{f} = \frac{3 \times 473}{298} = 4.76[/tex] Liters ≈ 4.8 Liters. (Answer)