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How can we estimate the molar heat capacity of solid elements at ordinary temperatures?
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- Find the ratio f(vp)/f(vrms) for hydrogen gas ( M=2.02 g/mol) at a temperature of 77.0 K.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 cConsider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an additional vibration mode and have a mass m/4 . The ratio of molar specific heat at constant volume of gas A and B is; a) 7/9 b) 5/9 c) 3/5 d) 5/7
- The escape velocity from the Moon is much smaller than from Earth and is only 2.38 km/s. At what temperature (in K) would hydrogen molecules (molar mass is equal to 2.016 g/mol) have an average velocity vrms equal to the Moon's escape velocity?please help : Simulate (i.e., make a theoretical plot for the heat capacity (y-axis) vs T (x-axis) between 50 K and 500 K for 1 mole of diamond crystal, given that oscillation frequency, v, for diamond is 2.75x1013 HzThe most probable speed an atom/molecule in an ideal gas in thermodynamic equilibrium at temperature T will have is vmp=(2kgT/M)-/2. What is the most probable speed in a gas of hydrogen molecules (H2) at 77 °C? mp=1.67x10-27 kg , ke=1.38x10-23 J/K.
- 3. (3.a) The table given below is shown C/R ratios of some solids at 273 K. Here, R is the ideal gas constant and C is the heat capacity of solid. What is the reason that C/R value is very far away from 3 for diamond? Explain and discuss this question in the light of relevant theory/theories on heat capacity. Material C/R Copper (Cu) Gold (Au) Silver (Ag) Diamond (C) 2.94 3.05 2.99 0.74 (3.b) According to Debye Theory of heat capacity of solids heat capacity, C, depends on T' (temperature in Kelvin) and this law is given as below. 3 12 n*R C = Here Op is called as Debye temperature. The following Table as given below contains some experimental data of heat capacity as a function of temperature for potassium iodide (KI) material. 3.b.1. Why is Debye temperature important for materials? And when is Debye T³ law important for solids? 3.b.2. Make an estimation by calculation of Debye Temperature of KI material according to given values in Table shown below? T(K) C (JK.mol) 0.1 2.94 1.0…A 2.7 L volume of ideal neon gas (monatomic) is at a pressure of 4.6 atmospheres and a temperature of 360 K. The atomic mass of neon is 20.2 g/mol. In this situation, the temperature of the gas is increased to 460 and the volume is increased to 4.7 L. The final pressure of the gas, in atmospheres, is closest to: A) 3.7 B) 3.4 C) 3.0 D) 4.4 E) 4.1The escape velocity of any object from earth is 11.2 km/s. a) express this speed in m/s and km/h. speed, m/s: speed,km/h: b) at what temperature would oxygen molecules (molecular mass is equal to 32 g/mol) have an average velocity, v rms, equal to earths escape velocity 11.2km/s? temperature: K
- In 1995 a research group led by Eric Cornell and Carl Wiemann at the University of Colorado successfully cooled Rubidium atoms to the 20-200 nk temperature range. Assuming (incorrectly) that the Rubidium atoms behave like particles of a classical ideal gas, calculate the RMS speed of a Rubidium atom at a temperature of 36.0 nk. In the experiments one particular isotope of Rubidium was used, Rubidium-87. The molar mass of this isotope is 86.91 g/mol. Submit Answer Tries 0/12Problem 1: Solve the one-dimensional heat equation ut = Upx for the completely insu- lated metal wire of unit length with the initial temperature given by u(x,0) = 6 sin?(7x) cos (Tx). (Tx) cos² (Tx). Find the equilibrium temperature inside the wire åfter long time.In 1995 a research group led by Eric Cornell and Carl Wiemann at the University of Colorado successfully cooled Rubidium atoms to the 20-200 nK temperature range. Assuming (incorrectly) that the Rubidium atoms behave like particles of a classical ideal gas, calculate the RMS speed of a Rubidium atom at a temperature of 53.0 nK. In the experiments one particular isotope of Rubidium was used, Rubidium-87. The molar mass of this isotope is 86.91 g/mol.