Question

How much pressure is required to compress a 1 L volume of air at 1 atm pressure to 0.5 L? Provide an answer with values to the hundredths place (two spaces past the decimal).

a. 0.50 atm
b. 1.00 atm
c. 2.00 atm
d. 4.00 atm

Answer 1

The pressure required to compress a 1 L volume of air at 1 atm pressure to 0.5 L is 2.00 atm.

Step-by-step explanation:

To calculate the final pressure required to compress a 1 L volume of air at 1 atm pressure to 0.5 L, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.

According to Boyle's Law:

P1 * V1 = P2 * V2

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

Given: P1 = 1 atm, V1 = 1 L, V2 = 0.5 L

Plugging these values into the formula:

1 atm * 1 L = P2 * 0.5 L

P2 = (1 atm * 1 L) / 0.5 L = 2 atm

Therefore, the amount of pressure required to compress the 1 L volume of air to 0.5 L is 2.00 atm, which matches option c.