Question

In: Physics

You have two glasses of water each with equal amount of it. In glass “A” the...

You have two glasses of water each with equal amount of it. In glass “A” the temperature of the water is 10 ◦C. In glass “B” the temperature of the water is 30 ◦C. (4/20 credits)
a) The water in glass A has more internal energy

b) The water in glass B has more internal energy c) They have equal amount of internal energy

What formula did you use to derive your answer?

Solutions

Expert Solution

Internal energy is defined as the energy associated with the random, disordered motion of molecules. It is separated in scale from the macroscopic ordered energy associated with moving objects; it refers to the invisible microscopic energy on the atomic and molecular scale.

The kinetic molecular theory assumes that the temperature of a gas is directly proportional to the average kinetic energy of its particles

The internal energy and enthalpy of ideal gases depends only on temperature, not on volume or pressure.

We can prove these property of ideal gases using property relations. From the fundamental equations for internal energy and enthalpy, the volume dependence of internal energy and the pressure dependence of enthalpy for ideal gases are derived. By applying property relations, it is proved that the internal energy and enthalpy of ideal gases do not depend on volume and pressure, repectively.

It can be said that IE is directly proportional to Temp.

So, Ans. is b) The water in glass B has more internal energy.


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