Question

What is the final pressure when 100.0mL of a gas at 5.00 atm is compressed to 25.0mL at constant temperature?

(help! timed Test)
A.) 1.25 atm
B.) 500 atm
C.) 10.0 atm
D.) 20.0 atm

Answer 1

D) 20.0 atm

Step-by-step explanation:

To solve this problem, we can apply Boyle's law, which states that:

"For a constant mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to the volume of the gas".

Mathematically:

`pV=const`

where

p is the gas pressure

V is the volume of the gas

The equation can also be rewritten as

`p_1 V_1 = p_2 V_2`

where in this problem:

`p_1=5.00 atm` is the initial pressure of the gas

`V_1=100.0 mL` is the initial volume of the gas

`V_2=25.0 mL` is the final volume of the gas

Solving for p2, we find the final pressure of the gas:

`p_2 = (p_1 V_1)/(V_2)=((5.00)(100.0))/(25.0)=20.0 atm`