<h3>Answer:</h3>
The gas obeys the Boyle's law
<h3>Explanation:</h3>- According to Boyle's law, the volume of a fixed mass of a gas and the pressure are inversely proportional at constant absolute temperature.
- That is;
- Therefore,
, where k is a constant
- At varying volume and pressures while keeping absolute temperature constant; k = P1V1 =P2V2
In this case, we are given;
Initial Volume of 13.0 L at initial pressure of 1.0 atm
New volume of 6.5 L at new pressure of 2.0 atm
But, K = PV
Therefore,
k1 = P1V1
= 1.0 atm × 13.0 L
= 13 atm.L
k2 = P2V2
= 2.0 atm × 6.5 L
= 13 atm.L
Thus, k1=k2
Thus, the gas obeys the Boyle's law