Question

If a gas occupies 2.3 liters at a pressure of 1.9 atm, what will be its volume at a

pressure of 3.8 atm?

Answer 1

Option C (1.2 L) is the correct option.

Step-by-step explanation:

The given values are:

Pressure,

`P_1=1.9 \ atm`

`P_2=3.8 \ atm`

Volume,

`V_1=2.3 \ L`

`V_2=?`

As we know,

The gas equation is:

⇒
`PV=nRT`

At constant temperature,

⇒
`P_1 V_1=P_2 V_2`

or,

⇒
`V_2=(P_1 V_1)/(P_2)`

By substituting the values, we get

⇒
`=(1.9* 2.3)/(3.8)`

⇒
`=(4.37)/(3.8)`

⇒
`=1.15 \ L`

or,

⇒
`=1.2 \ L`