One helium tank has volume of 2 m^3 , pressure of 400 kpa and temperature of 27°c. second helium tank has volume of 6 m^3, pressure of 200 kpa and temperature of 127 °c. we connect the tanks with a hose. find the pressure and the temperature when the equilibrium is reached.

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