Question

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

Answer 1

4.8 Liters.

Explanation:

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

So,
`(V_(f) )/(T_(f)) = (V_(i) )/(T_(i))` .......... (1)

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

Now,
`V_(i) = 3` Liters,

`T_(i) = 25 + 273 = 298 K` and

`T_(f) = 200 + 273 = 473 K`

Therefore, from equation (1) we get,

`V_(f) = (3 * 473)/(298) = 4.76` Liters ≈ 4.8 Liters. (Answer)