A gaseous air-fuel mixture in a sealed cylinder has an initial volume of 600mL at 1.0 atm. As the cylinder cycles and the piston moves to compress the mixture, the volume is reduced to 50mL. Assuming ideal behavior, what is the new pressure of the air-fuel mixture?

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A gaseous air-fuel mixture in a sealed cylinder has an initial volume of 600mL at 1.0 atm. As the cylinder cycles and the piston moves to compress the mixture, the volume is reduced to 50mL. Assuming ideal behavior, what is the new pressure of the air-fuel mixture?
Expert Solution
Step 1

The ideal gas equation can be written as

PV = nRT

Where, P= Pressure

             V= Volume

             n = no. Of moles

  R= gas constant = 0.0821Latmmol-1K-1

             T = Temperature.

Given, For initial condition

P1 = 1 atm, V1 = 600 mL

For final condition

P2 = ?,  V2 = 50 mL

The no. Of moles , temperature doesn't change on compression.

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