Question

Temperatura aerului dintr‑o cameră de volum V = 40 m3 este t1 = 25 °C. În cameră se aduce un vas de capacitate calorică C = 400 J/K, ce conține o masă de gheață m = 500 g, la temperatura t2 = –10 °C. Considerând sistemul izolat, căldura specifică a gheții cg = 2 100 J/kg·K, căldura specifică a aerului c = 1 006 J/kg·K, densitatea medie a aerului rho = 1,29 kg/m3, determină temperatura aerului din cameră la stabilirea echilibrului termic.

Answer 1

To determine the final temperature of the air in the room at thermal equilibrium, calculate the heat exchanged between the air and the ice.

Step-by-step explanation:

To determine the final temperature of the air in the room at thermal equilibrium, we need to calculate the heat exchanged between the air and the ice.

1. Calculate the heat absorbed by the ice using the formula Q = mcΔT, where Q is the heat absorbed, m is the mass of the ice, c is the specific heat capacity of ice, and ΔT is the change in temperature.
2. Since the system is isolated, the heat absorbed by the ice is equal to the heat released by the air. Use the formula Q = mcΔT to calculate the change in temperature of the air.

By calculating the heat exchanged between the air and the ice, you can determine the final temperature of the air in the room at thermal equilibrium.