Use the table to answer the question.Sample Temperature (°C)198.2246.03100.6431.4A student records the temperature of several water samples as shown in the table. Other than the temperature, the water samples are the same. Which sample has the lowest kinetic energy? (1 point)
To determine the sample with the lowest kinetic energy, we need to understand that kinetic energy is directly proportional to temperature. Higher temperature means higher kinetic energy, while lower temperature means lower kinetic energy.
From the table, we can see that the temperature decreases as we move down the table. Therefore, the sample with the lowest temperature, which is 19.8 °C, will have the lowest kinetic energy.
To determine which sample has the lowest kinetic energy, we need to remember that kinetic energy is directly proportional to temperature. As temperature decreases, so does kinetic energy.
Upon examining the given table, we can see that the lowest recorded temperature is 19.8°C. Therefore, the sample with the lowest kinetic energy is the one recorded at 19.8°C.
To determine which water sample has the lowest kinetic energy, we need to understand the relationship between temperature and kinetic energy. The formula to calculate the average kinetic energy of a particle is given by:
KE = (3/2) kT
where KE is the kinetic energy, k is the Boltzmann constant (which is a constant value), and T is the temperature in Kelvin.
First, let's convert the temperatures from degrees Celsius to Kelvin. To convert, we add 273.15 to each temperature value.
Sample Temperature (°C) Kelvin (K)
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19.8 19.8 + 273.15
24.6 24.6 + 273.15
31.0 31.0 + 273.15
64.3 64.3 + 273.15
31.4 31.4 + 273.15
Now, let's calculate the kinetic energy for each sample using the formula above:
KE(19.8) = (3/2) k (19.8 + 273.15)
KE(24.6) = (3/2) k (24.6 + 273.15)
KE(31.0) = (3/2) k (31.0 + 273.15)
KE(64.3) = (3/2) k (64.3 + 273.15)
KE(31.4) = (3/2) k (31.4 + 273.15)
By comparing these values, we can determine which sample has the lowest kinetic energy.