Calculate the steady state flux of nitrogen across a copper plate at 1200°C. The diffusion coefficient of N in Cu is D = 2.5 x 10- 11 m²/s, and the steady state concentration gradient is 0.4 kg/m³ across the 35 cm thick plate. Express your answer to one decimal place with the format x 10-11, in units of kg m-² s-1

At what height is the atmospheric pressure 29.0% of what it is at sea level? Assume the molar mass of the air molecules to be 29.0 g/mol and that the air temperature is uniformly 287 K. [Answer in kilometres with 3 sig digits, but do not enter units with your answer]

We know from Newton's Law of Cooling that the rate at which an object warms up is proportional to the difference between the ambient temperature of the room and the temperature of the object. The differential equation corresponding to this situation is given by y' = k(M – y) where k is a positive constant. The solution to this equation is given by y = M + (yo – M)e-kt , where yo is the initial temperature of the object. Suppose your Thanksgiving turkey is kept at a temperature of 40 degrees Fahrenheit until it is put into a 350 degree Fahrenheit oven. It takes 2 hours for the turkey to warm up to a safe eating temperature of 165 degrees Fahrenheit. Find the values of yo, M, and k, for this situation, rounding your answers to 3 decimal places. Yo= M = k= Regardless of your answers above, suppose the k value in this situation is k = 0.3. Find the initial rate of increase of the turkey's temperature as soon as it is placed in the oven. Round to 3 decimal places. degrees per hour.

Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the following correlation: q10(72,) where e = viscosity (N/s•m²) T- temperature (K) - 2.414 x 10-s 2 - 247.8 (K) s = 14 0 (K) What is the appropriate unit for q, if the above equa- tion is to be homnogeneous in units?