Air at 20°C in the cylinder of a diesel engine is compressed from an initial pressure of 1.3 atm and volume of 864 cm³ to a

Question

Air at 20°C in the cylinder of a diesel engine is compressed from an initial pressure of 1.3 atm and volume of 864 cm³ to a volume of 163 cm³. Assume air behaves as an ideal gas with gamma (y=1.4) and the compression is adiabatic with changing in temperatutre. Find the final pressure of the air.
Hint: for adiabatic process of an ideal gas, we can use: P₁ V = P₁ V
Note: 1atm = 1.01 x 10^5 Pa

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