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Question

A quantity of monatomic ideal gas expands adiabatically from a volume of 2.0 liters to 6.0 liters. If the initial pressure is P0, what is the final pressure? 

Ans: 0.16 P0 

A cylinder containing an ideal gas has a volume of 2.0 m3 and a pressure of 1.0

Answer 1

The Volume of the gas is v1 =  2.0 ltrs.

Pressure at volume P1 = P0.

Now the volume is increased to v2 =  6.0 ltrs.

Ideal gas expanding adiabatically .

Where γ is 1.67

P2 = 0.16 P0

Therefore Pressure at volume v2 = 6 ltrs is 0.16 P0.