Question

One litre of an ideal gas at a pressure of 50 pascal is suddenly compressed to half its original volume. The final pressure of the gas in pascal is (\(\gamma = 1.5\))

• A. \(50\sqrt{2}\)
• B. 75
• C. 50
• D. \(100\sqrt{2}\)
• E. 100

Hint:

Remember: "Sudden" = Adiabatic (\(PV^\gamma = C\)); "Slow" = Isothermal (\(PV = C\)). For adiabatic compression, the pressure increases much more sharply than for isothermal.

Answer 1

The Correct Option is D