You have just bought a Carnot refrigerator to keep your frozen vegetables frozen.If you intend to run your refrigerator between the cold temperature reservoir at -5 $\circ$ C (the inside of the box)and the high temperature reservoir at 26 $\circ$ C (your kitchen temperature)how much work will be needed to draw 15 J of heat from the cold reservoir?

Question

Quizplus · Accepted Answer

To find the work needed for a Carnot refrigerator, we use the formula: $W = Q_C \left( \frac{T_H}{T_C} - 1 \right)$, where $Q_C$ is the heat extracted from the cold reservoir, $T_H$ and $T_C$ are the temperatures of the hot and cold reservoirs, respectively, in Kelvin. First, convert temperatures from Celsius to Kelvin: $T_C = -5 + 273.15 = 268.15 K$ and $T_H = 26 + 273.15 = 299.15 K$. Then, $W = 15 \left( \frac{299.15}{268.15} - 1 \right) \approx 1.7 J$.

You Have Just Bought a Carnot Refrigerator to Keep Your ∘\circ∘

You Have Just Bought a Carnot Refrigerator to Keep Your $\circ$