Need help with #2 & # 3

1. Record the pairs of data for pressure (atm) and volume (mL).


Pressure(atm) Volume(mL)
1.000 150 mL
1.154 130 mL
1.364 110 mL
1.667 90 mL

2. Does your experimental data verify Boyle's Law? Explain.

3. What pressure would the gas sample have at a volume of 75 mL? At 300 mL?

The gas was propane

#2. Looks like verification to me.

PV = k. Multiply P x V and see what you get for the first one, then compare with the other PV = ??

#3. Just use PV = k from the previous data, that same k and 75 mL should give the new pressure.

To analyze whether the experimental data verifies Boyle's Law, we need to understand what Boyle's Law states. Boyle's Law states that the pressure of a gas is inversely proportional to its volume, given that the temperature and the number of gas particles are constant.

To determine if the experimental data verifies Boyle's Law, we can check if the product of the pressure and volume values is approximately constant. Let's calculate the product for each pair of pressure and volume values:

1.000 atm * 150 mL = 150 atm.mL
1.154 atm * 130 mL = 150 atm.mL
1.364 atm * 110 mL = 150 atm.mL
1.667 atm * 90 mL = 150 atm.mL

As we can see, the product of pressure and volume for each pair is approximately the same (150 atm.mL), indicating that the experimental data verifies Boyle's Law. When the volume decreases, the pressure increases proportionally, which demonstrates the inverse relationship between pressure and volume, as stated by Boyle's Law.

Now, let's move on to the second question:

To find the pressure at a volume of 75 mL, we can use Boyle's Law. By rearranging the formula, we have P1 * V1 = P2 * V2, where P1 and V1 are the initial pressure and volume, and P2 is the unknown pressure at the desired volume.

We can use any pair of pressure and volume values from the given data to solve for P2, as long as we know the initial volume and pressure. Let's use the values from the first pair (P1 = 1.000 atm, V1 = 150 mL):

P1 * V1 = P2 * V2
1.000 atm * 150 mL = P2 * 75 mL

Simplifying the equation:

150 atm.mL = 75 P2

Dividing both sides by 75 mL:

2 atm = P2

Therefore, at a volume of 75 mL, the gas sample would have a pressure of 2 atm.

To find the pressure at a volume of 300 mL, we can use the same formula (P1 * V1 = P2 * V2) and values from any pair of pressure and volume. Let's use the values from the fourth pair (P1 = 1.667 atm, V1 = 90 mL):

P1 * V1 = P2 * V2
1.667 atm * 90 mL = P2 * 300 mL

Simplifying the equation:

150.03 atm.mL = 300 P2

Dividing both sides by 300 mL:

0.5 atm = P2

Therefore, at a volume of 300 mL, the gas sample would have a pressure of 0.5 atm.