Air enters an open system with a velocity of 1 m/s and density of 1 kg/m3 at 500 K through a pipe with a cross-sectional area of 10 cm2. The mass of air in the tank at a given instant is given by the expression m = 5p/T where p is in kPa and T is in K. If the temperature in the tank remains constant at 500 K due to heat transfer,
(a) Determine the rate of increase of pressure in the tank.
(b) What is the sign of heat transfer, positive (1) or negative (-1)?