Question

A gas originally occupies a volume of 0.5 m3 at a pressure of 100 kPa. It is slowly allowed to expand until the volume is 2.5 m3. Assuming the temperature is kept constant, the final pressure will be

a. 500 kPa.
b. 100 kPa.
c. 50 kPa.
d. 20 kPa.
e. 10 kPa.

Answer 1

Answer:

option (d)

Explanation:

Since the temperature is constant, we can use the combined gas law, which states:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively.

Plugging in the given values, we get:

P2 = (P1V1)/V2 = (100 kPa)(0.5 m^3)/(2.5 m^3) = 20 kPa

Therefore, the final pressure will be 20 kPa.