Two identical rooms are separated by different exterior walls

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

Two identical rooms are separated by different exterior walls. • Wall X is made of a material with a higher thermal conductivity than Wall Y. • Both walls have the same thickness and area. • The inside temperature of each room is maintained at 22 ∘ ⁣C22\,^{\circ}\!\text{C}. • The outside temperature is 0 ∘ ⁣C0\,^{\circ}\!\text{C} for both walls. Which statement best explains why the room with Wall X loses thermal energy more rapidly than the room with Wall Y? (a) Wall X is thinner than Wall Y, so heat has a shorter distance to travel through the wall. (b) The material of Wall X allows microscopic energy carriers to transfer kinetic energy more efficiently across the wall. (c) The temperature difference between the two faces of Wall X is greater than that of Wall Y, so a larger thermal gradient drives the heat flow. (d) Wall X’s material has a lower specific heat capacity, so it cannot store as much energy and releases heat more rapidly.

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