Question

A sample of oxygen at room temperature occupies a volume of 500. l at 1.75 atm. what would be the volume of this gas at 2.50 atm at the same temperature?

Answer 1

Answer: The final volume of the gas is 350 liters.

Step-by-step explanation:

To calculate the final volume of the gas, we use the equation given by the law known as Boyle's Law. This law states that the pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

Mathematically,

`P_1V_1=P_2V_2`

where,

`P_1\text{ and }V_1` are the initial pressure and initial volume of the gas

`P_2\text{ and }V_2` are the final pressure and final volume of the gas

We are given:

`P_1=1.75atm\\V_1=500L\\P_2=2.5atm\\V_2=?L`

Putting values in above equation, we get:

`1.75* 500=2.5* V_2\\\\V_2=350L`

Hence, the final volume of the gas is 350 liters.

Answer 2

P1 x V1 = P2 x V2
1.75 x 500 = 2.5 x V2
V2 = 350