For an opaque surface, the absorptivity $$\left( \alpha \right),$$ transmissivity $$\left( \tau \right)$$ and reflectivity $$\left( \rho \right)$$ are related by the equation:

Water $$\left( {{C_p} = 4.18\,kJ/kg.K} \right)$$ at $${80^ \circ }C$$ enters a counter flow heat exchanger with a mass flow rate of $$0.5kg/s.$$ Air $$\left( {{C_p} = 1\,kJ/kg.\,K} \right)$$ enters at $${80^ \circ }C$$ with a mass flow rate $$2.09$$ $$kg/s.$$ If the effectiveness of the heat exchanger is $$0.8,$$ the $$LMTD$$ (in $$^ \circ C$$) is

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.

The critical path for the project is

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.

If the duration of activity $$''f ''$$ alone is changed from $$9$$ to $$10$$ days, then the