#حل_مسئله
#ترمودینامیک

🔏 An ideal air conditioner operating on a Carnot cycle absorbs heat Q₂ from a house at temperature T₂ and discharges Q₁ to the outside at temperature T₁ , consuming electrical energy E. Heat leakage into the house follows Newton's law:

Q = A [ T₁ - T₂ ] ,

where A is a constant. Derive an expression for T₂ in terms of T₁ , E , and A for continuous operation when the steady state has been reached.

The air conditioner is controlled by a thermostat. The system is designed so that with the thermostat set at 20°C and outside temperature 30°C the system operates at 30% of the maximum electrical energy input. Find the highest outside temperature for which the house may be maintained inside at 20°C.

🛠 Necessary tools:

🔹first law of thermodynamics.
🔹Carnot implies: Q₁/T₁ = Q₂/T₂.

📚Concepts in Thermal Physics
👥Stephen J. Blundell and Katherine M. Blundell

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