40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion coefficient of the alloy? (b) what is the temperature when its length is 39975cm?
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- One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `40000cm, and at 1000C its length is 40060cm. (a) What is the linear expansion coefficient of the alloy? (b) what is the temperature when its length is 39975cm? (10) A hole with diameter of 2cm is drilled through a stainless steel pate at room temperature (20OC). By what fraction (Dr/r) will the hole be larger when the plate is heated to 1500C? (11) Calculate the fractional change in volume (Dv/v) of an aluminum bar that undergoes a change in temperature of 300C.*7. Go A copper-constantan thermocouple generates a voltage of 4.75 × 10-3 volts when the temperature of the hot junction is 110.0 °C and the refer- ence junction is kept at a temperature of 0.0 °C. If the voltage is propor- tional to the difference in temperature between the junctions, what is the temperature of the hot junction when the voltage is 1.90 × 10-3 volts?
- When a metal is heated, its atoms vibrate more about their position in the lattice (a network of crossed bars). This causes them to take up more space, so the solid metal expands from its original shape. Calculate the heat needed to expand a ring made of copper with an internal diameter of 50mm to fit over a shaft of diameter 50.05mm. The shaft is measured at a temperature 20 degrees cCalculate AS when 3.2 moles of n-hexane goes from 298 K and 1 atm to 398 K and 2 atm. The table below provides useful data, all at 298 K and 1 atm (reference: Cerdeiriña, Claudio A., et al. "Isobaric thermal expansivity and thermophysical characterization of liquids and liquid mixtures." Physical Chemistry Chemical Physics 3.23 (2001): 5230-5236). You may neglect the pressure and temperature dependence of all quantities. Compound Molar Volume (cm³/mol) Isothermal Compressibility (1/atm) Thermal Expansity (1/K) Cp,m (J/molK) n-hexane 133.09 1.69 x 10-4 1.38 x 10-3 195.66 n-heptane 147.45 1.47 x 10-4 1.246 x 10-3 224.64 n-dodecane 228.55 1.00 x 10-4 9.69 x 10-4 376.22Show that for an ideal gas _ c p = _ c v + Ru.
- Consider an ideal gas at 27C and 1.00 atm. To get some idea how close these molecules are to each other, on the average, imagine them to be uniformly spaced, with each molecule at the center of a small cube. (a) What is the length of an edge of each cube if adjacent cubes touch but do not overlap? (b) How does this distance compare with the diameter of a typical molecule? (c) How does their separation compare with the spacing of atoms in solids, which typically are about 0.3 nm apart?A copper-constantan thermocouple generates a voltage of 4.75 x 10-3 volts when the temperature of the hot junction is 110 °C and the reference junction is kept at 0 °C. If the voltage is proportional to the difference in temperature between the junctions, what is the temperature in degrees Celsius of the hot junction when the voltage is 2.08 x 10-3 volts?Under the Equipartition Principle, in the high temperature limit, molecular heat capacity should be 1 -NR, where N is the number of atoms in 2 the molecule and R is the gas constant. O True O False
- A copper-constantan thermocouple generates a voltage of 4.75 x 10-3 volts when the temperature of the hot junction is 110 °C and the reference junction is kept at 0 °C. If the voltage is proportional to the difference in temperature between the junctions, what is the temperature in degrees Celsius of the hot junction when the voltage is 2.45 x 10-³ volts? Number i eTextbook and Media GO Tutorial Units ✪At temperature T, the internal energy of 1 mol rigid diatomic molecules is =.......A sample of 2.37 moles of an ideal diatomic gas experiences a temperature increase of 65.2 K at constant volume. Find the increase in internal energy if only translational and rotational motions are possible.