Otterbein University Department of Physics Physics Laboratory 1500-12 EXPERIMENT 1500-12 LATENT HEAT, HEAT TRANSFER, AND CALORIMETRY NAME: SAFETY Safety note #1: In this lab you will be working with liquid nitrogen. Liquid nitrogen can cause severe freeze-burns, so you should handle it with care. Actually, you can come into contact with liquid nitrogen for a short time without harm, because your body is so hot that the liquid will boil when you touch it, forming an insulating layer of vapor (called a Leidenfrost layer after the physicist who first studied it). You can demonstrate this effect by spilling a few drops of liquid nitrogen drops of liquid will float across the table on the layer of vapor. (You can do the same thing with water and a hot pancake griddle.) What you should not do is touch solid objects that have been immersed in liquid nitrogen, because such objects will not produce an insulating vapor layer if you touch them. They may even freeze to your skin. Similarly, avoid getting liquid nitrogen on rings or other jewelry or on your clothing. Don’t handle LN2 if you are wearing shorts or sandals, and avoid sloshing or spilling it. Safety note #2: Thermos bottles are designed to withstand rapid changes in temperature, but not as extreme as those you will get with liquid nitrogen. Occasionally, one will break. You should wear glasses or safety goggles when you work with an open thermos of liquid nitrogen. INTRODUCTION In this lab you will measure the latent heat of vaporization of liquid nitrogen and the heat capacity of a metal object. You will also test the theory of heat transfer. Liquid nitrogen we have in the lab sits at a temperature of 77 K, for the same reason that boiling water will be at 100ºC – during a phase transition, putting heat into the substance doesn’t increase the temperature, it changes the phase. To measure the latent heat of liquid nitrogen, you will supply a known amount of heat to the liquid nitrogen in your thermos bottle, and measure the change in mass due to the evaporation of the nitrogen. Because the thermos bottle is not perfectly thermally insulating, some liquid nitrogen will evaporate due to heat that leaks through the sides and top. To correct for this effect, you will measure the rate at which nitrogen evaporates due to the heat leak. The thermos bottle was invented by Sir James Dewar in the late nineteenth century. (For that reason it is more formally known as a Dewar flask, or simply a Dewar.) The walls of the Dewar flask are made of two layers of glass with vacuum in between, to reduce heat leaks due to Page 1 of 5 Otterbein University Department of Physics Physics Laboratory 1500-12 conduction. To reduce the heat leak due to radiation, the surface of the glass is coated with silver. Since you have measured the heat leak, you can estimate how good the silver coating is at reflecting radiation. Finally, using the known latent heat of liquid nitrogen, you can measure the heat capacity of a metal sample by measuring the amount of liquid boiled off when you put the metal in the nitrogen. HEAT GAINED BY NITROGEN + HEAT GAINED BY METAL = 0 PART 1 - RESIDUAL LOSS Fill your thermos with liquid nitrogen. Put it on your scale. Once the reading is stable, measure the mass of the thermos with nitrogen. Wait about 5 minutes, measuring the time with your stopwatch, then measure the mass again. Read ahead while you wait for this. Mass of thermos + nitrogen at start: ________________ Mass of thermos + nitrogen after: _________________ Duration of wait: _____________ Use this to find how much nitrogen boils off due to stray heat getting into the thermos. Residual loss of nitrogen = __________ g/min PART 2 - LATENT HEAT OF VAPORIZATION In this section, we will find how much heat it takes to turn a gram of nitrogen into a gram of vapor. Set up the circuit shown below, using one multimeter as a voltmeter, and the other as an ammeter. Be sure not to touch any bare wires when the power is on! The resistor is the large brown tube with orange wires soldered to it. This is a “power resistor” that can dissipate a lot of heat. If you are unsure of your circuit, have the instructor check it before you turn it on. Once your circuit is set up, switch it on. Turn up the voltage and current knobs on the power supply until you get about 0.3 to 0.4A of current. Be careful of the resistor, as it will get hot. Turn off the circuit. Carefully lower the resistor into the liquid nitrogen. Be sure that the resistor is completely submerged (ideally on the bottom). It may be convenient to tape the wires to the thermos bottle. Page 2 of 5 Otterbein University Department of Physics Physics Laboratory 1500-12 Wait until the nitrogen stops boiling. Measure the mass of the nitrogen plus resistor: _______________ Now, turn on the power and start a stopwatch. Nitrogen should start to boil off. While it is boiling, note the current and voltage. Boil off nitrogen for about 3 minutes. When finished, turn off the power and wait a few seconds for the boil to stop. Record the time the power was on and the final mass. Current: __________ Voltage: __________ Duration of boil: __________ Record the mass of the nitrogen plus resistor again: ______________ Find the mass of nitrogen that boiled away, Δm. Correct this for the residual losses measured in part 1. (That is, some of the nitrogen boiled away was NOT due to the resistor, but air currents, etc. Find out how much and subtract it off.) Remember that the power dissipated by a resistor is P = IV. Find the total heat ΔQ that was put into the nitrogen. Use this to find the latent heat of vaporization, defined as LV = ΔQ/Δm. Check with your instructor that the result is reasonable. Page 3 of 5 Otterbein University Department of Physics Physics Laboratory 1500-12 PART 3 - SPECIFIC HEAT CAPACITY In this section, we will find the heat capacity of the metal object - how much heat we need to apply to one gram of metal to change its temperature by one degree. Take out the resistor. If required, top up your thermos bottle. Measure the mass of the metal slug provided. Slug mass = ________________ Measure the mass of the thermos bottle: _____________ Now, carefully and slowly lower the metal slug into the bottle. Use a stopwatch to see how long nitrogen boils off. Boil duration: _______________ Now measure the final mass of the thermos bottle and slug: _______________ (Notice that the nitrogen boils most violently just before it stops. Can you explain this?) Find the mass of nitrogen that boiled off. Correct for residual losses. Find how much heat the nitrogen took from the metal slug, by using the LV you find in Part 2. Find the specific heat capacity of the metal, cp, by using the expression ΔQ = cp m ΔT Page 4 of 5 Otterbein University Department of Physics Physics Laboratory 1500-11 Identify the material of the metal slug from the table. How much does your answer deviate from the one in the table? Metal Specific Heat Capacity cp - J/g K Metal Specific Heat Capacity cp - J/g K Aluminum 0.91 Osmium 0.13 Antimony 0.21 Platinum 0.13 Beryllium 1.83 Plutonium 0.13 Bismuth 0.13 Potassium 0.75 Cadmium 0.23 Rhodium 0.24 Carbon Steel 0.49 Selenium 0.32 Cast Iron 0.46 Silicon 0.71 Chromium 0.46 Silver 0.23 Cobalt 0.42 Sodium 1.21 Copper 0.39 Tantalum 0.14 Gold 0.13 Thorium 0.13 Iridium 0.13 Tin 0.21 Iron 0.46 Titanium 0.54 Lead 0.13 Tungsten 0.13 Magnesium 1.05 Uranium 0.12 Manganese 0.48 Vanadium 0.39 Mercury 0.14 Zinc 0.39 Molybdenum 0.25 Wrought Iron 0.50 Nickel 0.54 Niobium (Columbium) 0.27 Page 5 of 5