If a chemical rocket has a jet power of 18 MW, inert mass of 50 kg, a propellant mass of 1000 kg, then what is its specific power?

A)
8.91 kW/kg
B)
17.14 kW/kg
C)
25.43 kW/kg
D)
34.28 kW/kg

Correct Answer :   17.14 kW/kg


Explanation : Specific power is jet power divided by the total mass of that the propulsion system prior to its launch. It is lower for electric propulsion system when compared to chemical rockets. This is because of the heavier and relatively inefficient power source that it has to carry.
Pspec = Pjet / mtotal
mtotal = minert + mprop
= 50 + 1000 = 1050 kg
∴ Pspec = 18 x 106 / 1050
= 17.14 kW/kg.