Weight of empty LPG cylinder = 14.8 kg
Weight of full LPG cylinder = 29 kg
∴ Weight of gas = 29 -$ 14.8 = 14.2 kg
If weight of full LPG cylinder = 23 kg
then weight of gas used = 29 − 23 = 6 kg at ambient temperature.
From ideal gas equation, pV = nRT
or pV = MolecularmassofsoluteWeightofsolute × RT
or pV = MW × RT
Applying ideal gas to LPG cylinder when gas is full,
pV = nRT
3.47atm × V = M14.2kg × RT .... (i)
Applying ideal gas to LPG cylinder When gas is reduced to 23 kg at ambient temperature,
pV = nRT
p × V = M8.2kg × RT .... (ii)
Divide Eq. (i) by (ii)
p × V3.47 × V = M8.2kg × RT M14.2kgRT
p3.47 = 8.214.2
⇒ p = 713.47 × 41 = 2.003 atm
Hence, answer is 2.