Answer :
The work done by air during adiabatic expansion can be calculated using the adiabatic expansion formula and converting pressure from atm to Joules.Hence,option 4 is correct, 100.8 J.
The question asks about the work done by air when it expands adiabatically from 1 liter to 3 liters. To determine the work done by the air, we can use the formula for adiabatic expansion: W = (P1V1 - P2V2) / (y - 1), where y is the heat capacity ratio (Cp/Cv) for the gas, and P1V1 and P2V2 are the initial and final pressure-volume products, respectively.
Using the adiabatic condition, PVy = constant, and the fact that we start at Standard Temperature and Pressure (STP), where P1 = 1 atm and V1 = 1 L, we can find P2 using the adiabatic condition (P2 = P1 * (V1/V2)y).
After calculating P2, we convert the pressure from atm to J using the conversion factor (1 L*atm = 101.3 J) and then we plug P1, V1, P2, and V2 into the work formula to find the numerical value of the work done. The correct answer will be one of the provided options after performing the calculations.
Hence,option 4 is correct, 100.8 J.
