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(d)     The air in the balloon had a mass of 0.00320 kgThe temperature of the air in the balloon decreased by 215 °CThe change in thermal energy of the air in the balloon was 860 JCalculate the specific heat capacity of the air in the balloon.

Question

(d)     The air in the balloon had a mass of 0.00320 kgThe temperature of the air in the balloon decreased by 215 °CThe change in thermal energy of the air in the balloon was 860 JCalculate the specific heat capacity of the air in the balloon.

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Solution

To calculate the specific heat capacity (c) of the air in the balloon, we can use the formula for change in thermal energy:

ΔQ = mcΔT

where: ΔQ is the change in thermal energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

We can rearrange this formula to solve for c:

c = ΔQ / (mΔT)

Substituting the given values:

c = 860 J / (0.00320 kg * 215 °C)

c = 860 J / 0.688 kg°C

c = 1250 J/kg°C

So, the specific heat capacity of the air in the balloon is 1250 J/kg°C.

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