Question

As you know, liquid hydrazine (N2H4) can be used as a rocket fuel. A rocket you designed has a total of 1.35E5 g of hydrazine when it loses power just beyond the atmosphere of Earth. It is on the dark side of the Earth at the time, and the external temperature is 116 K. By the time you notice, the internal temperature of the rocket (and the rocket fuel) has also reached 116 K. How much heat must be applied (in J) to the fuel to warm it back to its operating temperature of 298 K

Answer 1

The heat required to warm the fuel back to it's operating temperature is 3.83×10⁷ J

Data obtained from the question

• Mass (M) = 1.35×10⁵ g = 1.35×10⁵ / 1000 = 135 Kg
• Initial temperature (T₁) = 116 K
• Final temperature (T₂) = 298 K
• Specific heat capacity (C) = 1559.45 J/KgK
• Heat (Q) =?

How to determine the heat required

The heat required to warm the fuel can be obtained as follow:

Q = MC(T₂ – T₁)

Q = 135 × 1559.45 × (298 – 116)

Q = 135 × 1559.45 × 182

Q = 3.83×10⁷ J

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