Question

In a heating system, cold outdoor air at 7°C flowing at a rate of 4 kg/min is mixed adiabatically with heated air at 66°C flowing at a rate of 5 kg/min. Determine the exit temperature of the mixture. Solve using appropriate software.

Answer 1

The exit temperature of the mixture is 39.7°.

Step-by-step explanation:

Given that,

Outdoor temperature = 7°C

Flowing rate = 4 kg/min

Temperature = 66°C

Flowing rate = 5 kg/min

We need to calculate the exit temperature of the mixture

Using balance equation for the system

`m_(1)T_(1)+m_(2)T_(2)=(m_(1)+m_(2))T_(3)`

`T_(3)=(m_(1)T_(1)+m_(2)T_(2))/((m_(1)+m_(2)))`

Put the value into the formula

`T_(3)=(4* 7+5* 66)/(4+5)`

`T_(3)=39.7^(\circ)`

Hence, The exit temperature of the mixture is 39.7°.