Question

A person has a 342.41 mL sample of gas at a pressure of 21.31kPa If the person increases the volume to 1.42L what will the new pressure of the gas be in kPa?

Answer 1

`\text{5.14 kPa}`

Explanations:

Here,we want to get the new pressure of the gas

To get this, we have to use the gas law that relates volume and pressure

This is the Boyle's law and it can be represented as follows:

`P_1V_1=P_2V_2`

Where 1 represents the initial values and 2 represents the final values

We have to convert the volumes to the same scale

We have to convert the liters to ml by multiplying by 1000

We have this as 1.42 * 1000 = 1420 mL

The values are:

Initial

Pressure = 21.31 kPa

Volume = 342.41 mL

Final

Pressure =?

Volume = 1420 mL

We substitute the values as follows:

`\begin{gathered} 21.31\text{ }*\text{ 342.41 = P }*\text{ 1420} \\ P\text{ = }(21.31*342.41)/(1420)\text{ = 5.14 kPa} \end{gathered}`