8.0 kg of water at 32 C is mixed with 1.3 kg of water at 98 C. Assuming steady-state conditions and no environmental losses, calculate the final temperature of the mixture. Give your answer with 1 decimal point.

After a tough week of exams, you decide that nothing could be better than having a home cooked roast beef dinner. By consulting the internet, you discover that if the meat reaches a minimum temperature of 80C everywhere, then the meat should be well done- - - just the way you like it! Unfortunately, you don't have a meat thermometer, but you will use your heat transfer knowledge to estimate the roasting time. The oven is set at 180C with a convective heat transfer coefficient of 15 W/m°K. Using the properties of water, you estimate the thermal conductivity of the meat is 0.6 W/mK and the thermal diffusivity is 1.53*10'm/s. The roast is approximately 0.16m x 0.12m x 0.12 m. The initial temperature of the roast is 8C. Estimate the roasting time using the principle of superposition.

A Stirling cycle is a thermodynamic cycle similar to the Carnot cycle and is defined by the following processes. -> 2: Isothermal expansion -> 3: isochoric cooling -> 4: isothermal heating -> 1: isochoric heating Draw a PV diagram for a Stirling cycle in which 50g of Ar (treated as an ideal gas) is isothermally expanded from 4L to 16L at a temperature of 700K. The sample is then undergoes isochoric cooling to 298K.  The sample is then isothermally compressed to 3L and finally undergoes isochoric heating back to 700K.  Label the states 1 – 4 on the graph.

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