Questions 1. How much heat is needed to heat up a bathtub full of water to 70 deg Celciius if the
bathtub holds 100kg of water and starts out at 25 deg C
2. How hot will a 50g piece of lead get if 1000 J of energy is added and the initial temp is 40
deg C?
3. What substance will go from 20 deg to 80 deg if it has a mass of 200g and gets heated
with 4620 J of heat energy?
NO LINKS and please answer all 3

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax