Answer:
The new pressure inside of the cylinder is 2.6 atm.
Explanation:
Given that,
Initial pressure = 1.30 atm
If the number of moles is double after gas added.
The position of the piston does not change.
So, The volume will be same.
The pressure inside the cylinder before gas added
[tex]PV=nRT[/tex]...(II)
After gas added,
[tex]P'V=nRT[/tex]...(II)
We need to calculate the new pressure inside of the cylinder
Dividing equation (I) and (II)
[tex]\dfrac{PV}{P'V}=\dfrac{nRT}{n'RT}[/tex]
[tex]\dfrac{P}{P'}=\dfrac{n}{n'}[/tex]
Put the value into the formula
[tex]\dfrac{P}{P'}=\dfrac{n}{2n}[/tex]
[tex]P'=2\times P[/tex]
[tex]P'=2\times1.30[/tex]
[tex]P'=2.6\ atm[/tex]
Hence, The new pressure inside of the cylinder is 2.6 atm.
