#### Open System. Entropy

An **ideal gas** (R=0.29 kJ/(kg K) with constant specific heat,
c_{p}=1.0 kJ/(kg K)),
is streaming through a pipe. The pressure in the entrance and exit plane are
equal ( = 2 MPa ) while the temperature changes from
40^{o}C to 600^{o}C due to heat transfer into the pipe.

The mass flowrate is 1.5 kg/sec.

Neglecting changes in kinetic and potential energies, determine :
- The amount of heat per second transferred into the pipe.

- If the process of heat transfer is performed in a reversible manner what
would the entropy change of the gas be if we assume that the heat
is transferred to the gas at a mean temperature of 320
^{o}C ?
( Hint : integral dQ/T )

- Determine the actual change in entropy of the gas.

- What should the relationship between the results from 2. and 3.
be ? Circle one of the following :

Equal || 2 greater 3 || 3 greater 2