For the piston-cylinder determine how long it will take the contained gas to reach the operating temperature during the constant volume process state 1 to 2. consider this to be an external heat source cycle such as in a stirling engine. note this is the time to complete this part of the cycle. the volume of the cylinder is 2.02(10-5) m3, its radius is 0.0254 m and its length is 0.01 m. its initial temperature and pressure are 293 k and 1 bar and its final temperature is 800 k. the cylinder wall thickness is 0.007 m which is also the end face thickness. the heat source temperature is 900 k and is convectively connected to the cylinder through a heat transfer coefficient equal to 21 w/(m2 k). the convection heat transfer within the cylinder can be treated as equal to infinite. the system is composed of the steel walls and the gas within the cylinder. in this calculation the contained gas can be considered to be well mixed and at a uniform spatial temperature equal to that of the steel walls. the cylinder walls are steel with the following properties: k = 37.7 w/(m k) = thermal conductivity, rho = 7822 kg/m3 = density and c = 444 j/(kg m3) = specific heat. does the heat transferred during this heating process equal that predicted by the thermodynamic analysis