High School

Calculate the change of air temperature (°C) using: ΔT = (Q Δt) ¤ (M Cp) with Q = net energy = +100 W/m2 , Δt = elapsed time = 12 hours (in seconds), M = mass of air = 1.5 103 kg, and Cp = specific heat = 1.1 103 J/kg°C.

Answer :

Final answer:

The change in air temperature is approximately 2629.09 °C.

Explanation:

To calculate the change in air temperature (ΔT) using the given formula ΔT = (Q Δt) ¤ (M Cp), we need to substitute the given values into the formula.

Given:

  • Net energy (Q) = +100 W/m2
  • Elapsed time (Δt) = 12 hours (converted to seconds)
  • Mass of air (M) = 1.5 103 kg
  • Specific heat (Cp) = 1.1 103 J/kg°C

Substituting these values into the formula:

ΔT = (Q Δt) ¤ (M Cp)

ΔT = (+100 W/m2) × (12 hours × 3600 seconds/hour) ¤ (1.5 103 kg × 1.1 103 J/kg°C)

Calculating the values:

ΔT = 4320000 J ¤ 1650 J/°C

ΔT = 2629.09 °C

Therefore, the change in air temperature is approximately 2629.09 °C.

Learn more about calculating change in air temperature using the formula δt = (q δt) ¤ (m cp) here:

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