Question

A sealed room has a volume of 24m³. It’s filled with air, which may be assumed to be diatomic, at a temperature of 24°C and a pressure of 9.83×10⁴Pa. A 1.00-kg block of ice at its melting point is placed in the room. Assume the walls of the room transfer no heat. What is the equilibrium temperature?

(a) 2.0°C
(b) 4.5°C
(c) 8.7°C
(d) 10.2°C

Answer 1

To find the equilibrium temperature, we can use the principle of energy conservation. Equating the heat gained by the ice to the heat lost by the air will give us the equilibrium temperature.

Step-by-step explanation:

To find the equilibrium temperature, we can use the principle of energy conservation. The heat gained by the ice is equal to the heat lost by the air in the room. The heat gained by the ice can be calculated using the formula Q = m * L, where Q is the heat gained, m is the mass of the ice, and L is the latent heat of fusion.

The heat lost by the air can be calculated using the formula Q = n * R * ΔT, where Q is the heat lost, n is the number of moles of air, R is the gas constant, and ΔT is the change in temperature. Equating these two expressions and solving for ΔT will give us the equilibrium temperature.