A movable piston having a mass of 8.00 kg and a cross-sectional area of 5.00 cm2 traps 0.430 moles of an ideal gas in a vertical cylinder. If the piston slides without friction in the cylinder, how much work is done on the gas when its temperature is increased from 17°C to 297°C?
We can assume the process to be adiabatic such that we can make use of the formula: W = R (T2 - T1) / (γ - 1) W = 8.314 (297 - 17) / (1.4 - 1) W = 700 J/mole multiplying the number of moles W = 700 (0.43) W = 301 J The work done is 301 J.
