Question

A person has a 336.33 mL sample of gas at a pressure of 25.72 kPa. If the person increases the volume to 1.18L, what will the new pressure of the gas be in kPa?

Answer 1

Answer;

New Pressure of Gas = 7.33 kPa

Step-by-step explanation:

Given the initial and final volume occupied by a sample of a gas at constant temperature, we want to get the final pressure of the gas given the initial pressure value

To answer this, we look for the gas law that links voume and pressure at constant temperature

The gas law here is Boyle's law

It states that volume and pressure are inversely proportional. So we would expect a volume decrease where there is a pressure increase and vice versa

Mathematically, we have this as:

`P_iV_i=P_fV_f`

where i represents the initial values and f represents the final values

What we are looking for is the final pressure so, we rewrite the formula above as follows:

`P_f\text{ = }(P_iV_i)/(V_f)`

Lastly, we go on to substitute the given values

Let us have a look at the volume units

It must be understood that we should have same unit

Since 1000 mL = 1L

Then 336.33 mL = 0.33633 L

Finally, we substitute as follows:

`P_f\text{ = }(25.72*0.33633)/(1.18)\text{ = 7.33 kPa}`