Question

In a gas turbine power plant pressure ratio is 7. Temperature at end of compression is ${327}^{o}C$ and temperature before beginning of expansion process is ${1027}^{o}C$. If the plant employs regenerator with 100% effectiveness. What is the heat supplied in the combustion chamber ?

• A. 145.56 kJ/kg
• B. 445.50 kJ/kg
• C. 554.43kJ/kg
• D. 700 kJ/kg

Answer 1

The correct option is C 554.43kJ/kg


$T_5=\frac{T_4}{(r_p{)}^{\gamma -1/\gamma }}=\frac{1300}{(7{)}^{1.4-1/1.4}}=745.56K$
For 100% effective of regenerator
$T_3=T_5$
$\therefore$ Heat supplied in combustion chamber = $c_p(T_4-T_5)$
= $1(1300-745.56)=554.43kJ/kg$