The vapor pressures of a halogen compound in its solid and liquid phases display the following temperature dependence: p(s) 4012 K T 1 bar solid- liquid- In P (1) 1 bar = 18.316- = 11.247- 2589 K T where T is in K. (a) Determine the temperature of the triple point (in K).
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- Helium is a very important element for both industrial and research applications. In its gas form it can be used for welding, and since it has a very low melting point (only 0.95 K under 2.5 MPa) it can be used in liquid form to cool superconducting magnets, such as those found in particle physics experiments. Say we have a cylinder of n = 105 moles of Helium gas at room temperature (T= 20° C). The cylinder has a radius of r = 16.5 cm and a height h = 1.31 m. What pressure (in kPa) is the helium gas under? P = Helium is usually kept in the highest pressure gas cylinders, which can typically withstand at least 500 atm of pressure. Would the tank in part (a) be able to maintain its structural integrity? In principle, these tanks could fail if the temperature of the Helium started rising - if they were stored in a hot environment, for instance. To determine how much of a danger this is, calculate the temperature (in C) the Helium gas would have to be to make the tank start to crack. TmaxMetal A is in thermal contact with another Metal B. The two metals have the same length and area. If the end of Metal A is held constant at 80°C and the opposite end (which is Metal B) is held at 300°C. What will be the temperature, in °C, at the junction? (Ka = 314 W/m K and Kb = 427 W/m K)You drop a 7 mole piece of zinc, which has been heated to 423 K into 0.101 kg of water at 300 K You can use equipartition for the zinc. Assume that the system (water+zinc) is completely isolated from the environment. The specific heat capacity of water is 4.186 J/g K. What is the change in temperature of the water? (a) 16.9 K (b) 175. K (c) 36.0 K (d) 50.8 K (e) 6.85 K ✔100% Did the entropy of the zinc increase, decrease or stay the same? (a) Increase (b) Decrease) (0) Stay the same
- Calculate the specific heat capacity at constant volume of water vapor, assuming the nonlinear triatomic molecule has three translational and three rotational degrees of freedom and that vibrational motion does not contribute. The molar mass of water is 18.0 g/mol. Express your answer in J/(kg. K). cv = 24.942 17 ΑΣΦ Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Cv = ? The actual specific heat capacity of water vapor at low pressures is about 2000 J/(kg-K). Calculate the molar heat capacity for actual water vapor. Express your answer in J/(kg. K). ΤΙ ΑΣΦ J/(kg. K) ? J/(kg.K)Problem 2: Helium is a very important element for both industrial and research applications. In its gas form it can be used for welding, and since it has a very low melting point (only 0.95 K under 2.5 MPa) it can be used in liquid form to cool superconducting magnets, such as those found in particle physics experiments. Say we have a cylinder of n = 145 moles of Helium gas at room temperature (T = 20° C). The cylinder has a radius of r = 17.5 cm and a height h = 1.45 m. Part (a) What pressure (in kPa) is the helium gas under? P = ______ Part (b) Helium is usually kept in the highest pressure gas cylinders, which can typically withstand at least 500 atm of pressure. Would the tank in part (a) be able to maintain its structural integrity? Part (c) In principle, these tanks could fail if the temperature of the Helium started rising - if they were stored in a hot environment, for instance. To determine how much of a danger this is, calculate the temperature (in C) the Helium gas…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 ✪
- 2.Consider a sample containing 1.60 mol of an ideal diatomic gas. (a) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant volume. nCv = ? (b) Assuming the molecules rotate but do not vibrate, find the total heat capacity of the sample at constant pressure.nCp = ? (c) Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant volume.nCv =? (d)Assuming the molecules both rotate and vibrate, find the total heat capacity of the sample at constant pressure.nCp = ?Mercury is the only metal that exists as a liquid (d=13.56 g/cm3) at room temperature. Find the number of moles in 15 mL of mercury.2 mol of an ideal monoatomic gas moves from State 1 to State 2 P at constant pressure 1000 Pa and size V1=2 m3,V2 =3 m3. Calculated value W, Q, U, TI, T2
- The vapor pressures of the components, A and B, in a binary solution have been modeled and found to obey хара exp(0.75 XB) A A exp(0.75x) where XÃ and are the mole fractions, and PA* and PB* are the vapor pressures of each pure substance at room temperature. (a) If PA* = 0.084 bar and the total pressure of a mixture with XA = 0.40 is 0.125 bars, what is PB*, the vapor pressure of pure B (in bars)? P = X P А P₁ = X_P B QUESTION 14 B B * * Continuation of the previous problem (b) Assuming that the vapor is an ideal gas, what is the mole fraction of component B in the vapor phase?What is the root-mean- Square Speed in mls of gas molecules with molar molecular weight 33 gimöl at a temperature of 87.29 °C? T=87.29°C + 273 33 gimol 360. 29 k = 0.033 kg/mel2. For T = 300 K, calculate the pressure (in bars) at which the mean free path of a hydrogen molecule will be each of the lengths given here. For H₂, o = 2.30 x 10-1⁹ m². (a) 100 μm (b) 1.00 mm (c) 1.00 m LL