$6\mathrm{.}25$ A liquid is heated in a vertical tube of constant diameter.

$15$ m long. The flow is upward. At the entrance the average

velocity is $1\frac{m}{s},$ the pressure $340,000Pa,$ and the density is $1001$

$k\frac{g}{m^3}.$ If the increase in internal energy is $200,000\frac{J}{k}g,$ find the

heat added to the fluid.