Question

jenny measures the temperature inside a cave to be 10°c. the temperature outside the cave is about 30°c warmer. how does the kinetic energy of the air molecules inside the cave compare to the kinetic energy of the air molecules outside the cave? the kinetic energy of the air molecules inside the cave is the kinetic energy of the air molecules outside the cave.

Explanation:

Step1: Understand the relationship between temperature and kinetic energy

The average kinetic energy of gas molecules is directly proportional to the absolute temperature (in Kelvin). The formula for the average kinetic energy of a gas molecule is \(K_{avg}=\frac{3}{2}kT\), where \(k\) is the Boltzmann constant and \(T\) is the temperature in Kelvin.

Step2: Convert temperatures to Kelvin

The temperature inside the cave \(T_{in}=10^{\circ}C=(10 + 273)K=283K\).
The temperature outside the cave \(T_{out}=(10 + 30)^{\circ}C=40^{\circ}C=(40+ 273)K = 313K\).

Step3: Compare kinetic energies

Since \(K_{avg}\propto T\), and \(T_{in}

Answer:

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