Specific heat capacity 36.4 Jkg-1 K-1 of a body means that when 36.4J of heat energy is supplied to a body of

Analyze the question: The question asks what a specific heat capacity of 36.4 J kg⁻¹ K⁻¹ means in practical terms.

Concept: Specific heat capacity (c) is the quantity of heat needed to raise the temperature of 1 kg of a substance by 1 K.

Formula: Q = mcΔθ

Solution:

Given c = 36.4 J kg⁻¹ K⁻¹ and Q = 36.4 J, we find the combination of m and Δθ that fits:

Q = mcΔθ 36.4 = m × 36.4 × Δθ mΔθ = 1

So the product of mass and temperature rise must equal 1 kg·K.

Check each option:

• A. m = 100 kg, Δθ = 1 K: mΔθ = 100 ✗
• B. m = 1 kg, Δθ = 1000 K: mΔθ = 1000 ✗
• C. m = 1 kg, Δθ = 1 K: mΔθ = 1 ✓
• D. m = 100 kg, Δθ = 1000 K: mΔθ = 100,000 ✗

Answer: Option C. Supplying 36.4 J to 1 kg of the body raises its temperature by 1 K.

Tip: Read "specific heat capacity" as "heat per 1 kg per 1 K". The word "specific" means "per unit mass", so the correct option will usually have 1 kg and 1 K. Whenever you're unsure, plug the values into Q = mcΔθ and check that mΔθ matches.