Question

The pressure of a gas enclosed in a cylinder by a piston changes from 80 kPa to 200 kPa. If there is no change in temperature and the initial volume was 25 litres, calculate the new volume.
Show Options
A. 7.5 litres
B. 10 litres
C. 15 litres
D. 12.5 litres

Answer 1

Answer:

B. 10 litres

Explanation:

We can answer the question by using Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. Mathematically:

$pV=const.$

or

$p_1 V_1 = p_2 V_2$

where in this problem, we have:

p1 = 80 kPa is the initial pressure

V1 = 25 L is the initial volume

p2 = 200 kPa is the final pressure

V2 is the final volume

Solving the equation for V2, we find

$V_2 = \frac{p_1 V_1}{p_2}=\frac{(80)(25)}{200}=10 L$