Afireclay brick slab [α=5.4x10^-7m^2/s, and k=1w/m.°c] 10cm thick is initially at a uniform temperature of 350°c. suddenly one of its surfaces is subjected to convection with a heat transfer coefficient of 100w/m².°c into an ambient at 40°c. calculate the temperature at a depth 1cm from the surface 2min after start of cooling.

Two microscope slides are placed horizontally, one on top of the other, with a drop of a dishwashing liquid between them. the gap between the slides is 1 mm. a machine pulls the top slide to the right with a velocity of 0.15 millimeters per second while the bottom slide is held stationary. a stress gage indicates that a shearing stress of 0.5 pa is required to pull the top slide with this velocity. if the dishwashing liquid adheres to both slides during this process, what is the viscosity of the liquid? specify whether your answer is dynamic or kinematic viscosity, and use appropriate units.