Question

A sample of carbon dioxide occupies a volume of 3.50 L at 125 kPa. What pressure would the gas excert if the volume was decreased to 2.00 L but the temperature was help constant

Answer 1

Using Boyle's Law, the new pressure of a sample of carbon dioxide when its volume is decreased to 2.00 L at constant temperature is calculated to be 218.75 kPa.

Step-by-step explanation:

The question involves the use of the Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the volume of a gas is inversely proportional to the pressure it exerts. To calculate the new pressure when the volume decreases, we use the formula:

P1 × V1 = P2 × V2

where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume. Plugging in the values:

125 kPa × 3.50 L = P2 × 2.00 L

To find P2:

P2 = (125 kPa × 3.50 L) / 2.00 L

P2 = 218.75 kPa

So, the pressure the gas would exert if the volume was decreased to 2.00 L while keeping temperature constant would be 218.75 kPa.