Question

A 1.50-liter sample of dry air in a cylinder exerts a pressure of 3.00 atmospheres at a temperature of 25°C. Without changing the temperature, a piston is moved in the cylinder until the pressure in the cylinder is reduced to 1.00 atmospheres. The volume of the gas is _____.

Answer 1

Hope this helps you.

Answer 2

`V_2=4.5 L`

Step-by-step explanation:

Hi, air can be considered as an ideal gas. If mantaining constant the temeperature, you can apply the Boyle-Mariotte formula:

`P_1*V_1=P_2*V_2`

In this case:

`P_1=3 atm`

`V_1=1.5 L`

`P_2=1 atm`

So:

`V_2=(P_1*V_1)/(P_2)`

`V_2=(3atm*1.5 L)/(1atm)`

`V_2=4.5 L`