Heat
Transfer
Laura
Yetzina
Introduction
to Heat Transfer:
Temperature
and heat transfer are interesting topics. Several experiments can be
done to help understand temperature, heat, and thermal energy. The ideal
gas law, PV=nRT, expresses the relationship between the pressure, the Kelvin
temperature, the volume, and the number of moles of the ideal gas. An ideal
gas is a model for other gases if the other gases have low density (molecules
are far apart). An ideal gas cannot be liquefied because the molecules
must stick together. A real gas can exist as a liquid by decreasing the
volume and increasing the pressure. This is shown in the graph below.

Temperature
is the degree of hotness or coldness. Heat is the flow of thermal
energy. Thermal energy (TE) is the random
molecular kinetic energy in a thermal system. TE can also be
defined as the motion of molecules in a thermal system. Random motion
distinguishes thermal energy. The molecules of a ball are in coordinated
linear motion when a ball is thrown. My classmate, Dawn Hurley, has
a web page that discusses kinetic
theory in more detail.
Rate of Equilibrium
I
have conducted a few experiments with a calibrated electronic sensor, LoggerPro,
and a thermometer. I measured how long it took for the electronic probe
to reach equilibrium when immersed in water. I predicted it would take
25 seconds for the probe to reach equilibrium in ice water (0oC).
It actually took 55.5 seconds. The temperature probe/computer calibration
was slightly off because the temperature at equilibrium was -0.622oC
instead of 0oC. When the probe was taken out of the ice water,
it took 350 seconds to reach equilibrium in the air at 16.85oC.
When analyzing this experiment, I concluded that the probe can become colder
much faster than it can become warmer because the probe must absorb heat
from the air.
Actually, the rate of temperature
change depends on the number of molecular contacts per second. The water
molecules are more dense than the air molecules and allow for a higher
rate of thermal energy transfer (large molecular contact/sec). The air
is less dense, so not as much molecular contact/sec occurs. Hence, the
probe warms up slowly (slow TE transfer) when placed in the air. The energy
lost by the warm air is gained by the cold air.
The temperature of styrofoam,
wood, and metal was measured when the objects were at room temperature.
All three objects had about the same temperature of 20oC. The
metal felt colder because metal is a good thermal conductor. It conducts
heat away from the body (fingers) making the metal feel colder than the
wood or styrofoam. My classmate, April Morgan, also describes the
importance of thermal
conductors on her web page.
Heat Pulser for the Mechanical Equilibrium of
Heat
Procedure:
The
diagram below, which shows how the heat transfer experiment was conducted,
demonstrates how the thermal energy in Joules is related to the temperature
rise for water. The pulse length was 2 seconds. The heater produced 200
Watts. (1Watt=1J/s) 400 J/pulse was calculated by multiplying 200 J/s *
2 seconds. We used 179.3 g of water.

The computer, connected to
the relay box and the calibrated probe, graphed the temperature vs. the
number of
pulses. The reciprocal
of the slope of the temperature vs. the number of heat pulses graph told
us how many
Joules it took to heat 1 g
of water 1oC (4.45J/g/oC).
This graph is a representation and is not actual data.
Results
and Conclusion:
A
standard value told us that 4.19 Joules heat 1 g of water 1oC.
The percent error between our experimental data (4.45J/g/oC)
and the standard (4.19J/g/oC) is 6.23%. This error can be attributed
to the heat escaping into the air or the cup absorbing some of the heat.
The calculations are shown below.
Pulse
length = 2 sec
1W = 1 J/sec
Heater
= 200 W
200W = 200 J/sec
200 J/s * 2 sec = 400 J/pulse
Water
= 179.3g
slope
from the Temperature vs. Time graph = 0.001253 degrees C/J
standard
value 4.19 J/degC/1g