At which temperature does water have particles with a greater average kinetic energy than water with a temperature of 30°c?

77°f

95°f

280k

300k

The correct answer is 95°F.

Explanation:

Average kinetic energy is defined as the average of the kinetic energies of all the particles present in a system. It is determined by the equation:

where,

K = Average kinetic energy

R = Gas Constant

T = Temperature of the system

From above, it is visible that kinetic energy is directly related to the temperature of the system. So, if temperature is more, average kinetic energy of the system is more and vice-versa.

We need to find the temperature of the system for which the average kinetic is more than the temperature of 30°C.

The relation of degree Celsius and degree Fahrenheit is given by the equation:

For 77°F, the temperature in degree Celsius will be 25°C.

For 95°F, the temperature in degree Celsius will be 35°C.

The relation of degree Celsius and Kelvin scale is given by the equation:

For 280K, the temperature in degree Celsius will be 7°C.

For 300K, the temperature in degree Celsius will be 27°C.

As, the temperature of 95°F is more than the temperature of 30°C. Therefore the average kinetic energy of this system will be more.

Hence, the correct answer is 95°F.

most likely he is cheating on you