Question

Thermal capacity of a 10 kg of a substance whose specific heat capacity is 400J/kg k
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Answer 1

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❍ Required Answer:

☁️ GiveN:

• Mass of the substance = 10 kg
• Specific heart capacity = 400 J/kg K

☁️ To FinD:

• Thermal capacity of the substance....?

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❍ How to solve?

For solving this question, let's know some basic concepts of Thermodynamics like:

• Thermal Heat Capacity

The amount of heat required to raise the temperature of a body by some unit, this is what known to be thermal heat capacity or simply, heat capacity. It can be written as:

• C' = ΔQ / ΔT

❒ Here, C' is the heat capacity, ΔQ is the amount of heat supplied to the body and ΔT is the temperature change. Change is generally denoted by Δ.

• Specific heat capacity

It is defined as the amount of heat required in raising or increasing the temperature of any substance of unit mass through 1°C or 1 K. It is can be written as,

• C = ΔQ / m × ΔT

❒ Here, C is the specific heat capacity, m is the mass of the certain substance and rest same.

So, from here we can write,

➝ C' = C × m

That is, Thermal capacity = Specific heat capacity × Mass

✒ So, By using this, let's solve this question.

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❍ Solution:

We have,

• Specific heat capacity = 400 J/kg K
• Mass of the substance = 10 kg

By using the above formula,

➝ C' = C × m

➝ C' = 400 × 10 J/ K

➝ C' = 4000 J/ K

✒ Therefore, Thermal capacity = 4000 J/ K$.$

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