Question

A container of gas has a volume of 3.5 L and a pressure of 0.8 atm. Assuming the temperature remains constant, what volume of gas would result if the pressure was 0.5 atm?

A. 5.6 L
B. 2.2 L
C. 0.2 L
D. 1.8 L

Answer 1

Answer : The correct option is, (A) 5.6 L

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

`P\propto (1)/(V)`

or,

`P_1V_1=P_2V_2`

where,

`P_1` = initial pressure of gas = 0.8 atm

`P_2` = final pressure of gas = 0.5 atm

`V_1` = initial volume of gas = 3.5 L

`V_2` = final volume of gas = ?

Now put all the given values in the above equation, we get:

`0.8atm* 3.5L=0.5atm* V_2`

`V_2=5.6L`

Therefore, the final volume of the gas is 5.6 L.

Answer 2

The correct answer is option A.

Step-by-step explanation:

Initial volume of the gas =
`V_1=3.5 L`

Final volume of the gas =
`V_2=?`

Initial pressure of the gas =
`P_1=0.8 atm`

Final volume of the gas =
`P_2=0.5 atm`

Using Boyle's law:

`P_1V_1=P_2V_2`

`0.8 atm * 3.5 L=0.5 atm* V_2`

`V_2=5.6 L`

Hence,the correct answer is option A.