5. The isothermal expansion of 2 kg of air increased its volume by a factor of 1.7 Find the work and the amount of heat supplied, if the temperature of the air is t=70^circ C

To solve this problem, we need to use the first law of thermodynamics and the ideal gas law.Given information:- Mass of air: 2 kg- Volume increase factor: 1.7- Temperature: 70°CStep 1: Calculate the initial volume of the air.Let the initial volume be V1.Since the volume increased by a factor of 1.7, the final volume V2 = 1.7 × V1.Step 2: Calculate the change in volume.ΔV = V2 - V1 = 1.7 × V1 - V1 = 0.7 × V1Step 3: Calculate the work done by the air during isothermal expansion.Work done (W) = nRT ln(V2/V1)Where:n = number of moles of airR = specific gas constant for airT = absolute temperature in Kelvinln = natural logarithmStep 4: Calculate the amount of heat supplied to the air.Using the first law of thermodynamics:Q = ΔU + WWhere:Q = heat suppliedΔU = change in internal energySince the process is isothermal, ΔU = 0.Therefore, Q = WTherefore, the work done by the air during isothermal expansion is W, and the amount of heat supplied to the air is also W.