Question

A certain mass of nitrogen gas occupies a volume of 4.67 L 4.67 L at a pressure of 4.94 bar 4.94 bar . Calculate the pressure of the sample if the volume is increased to 7.05 L 7.05 L . Assume constant temperature and ideal gas behavior.

Answer 1

Answer : The final pressure of gas is, 3.27 bar.

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 = 4.94 bar

`P_2` = final pressure = ?

`V_1` = initial volume = 4.67 L

`V_2` = final volume = 7.05 L

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

`4.94bar* 4.67L=P_2* 7.05L`

`P_2=3.27bar`

Therefore, the final pressure of gas is, 3.27 bar.