Solve the heat conduction problem: = k %3D at using NUMERICAL METHOD. Subject to the boundary condition u(0,t) = 0,u(2, t) = 3t + 2 and initial condition u(x, 0) == %3D Given that, Ax = 0.25, At = 0.1, k = 0.1 and t ranges from 0 to 1.
Q: . In class on Wednesday, we defined the availability as A = U + POV - ToS, where Po is the pressure…
A:
Q: Consider a sample of weakly interacting gas consisting of 1,000 atoms confined in a cubic container…
A: The number of atoms in the sample (N) is 1,000.The temperature of the gas (T) is 300 Kelvin.The…
Q: Consider the partition function Z=Ee . Calculate the specific heat of the system. Bho (a) ke he pho…
A: The partition function is given as : Z=∑r=0∞e-βhωr+12 This can be simplified as :…
Q: 6) A scientist wants to study the properties of a certain equilibrium solid substance for various…
A:
Q: ' Using the Joule coefficient, av solve for Joule coefficient for a ƏT gas described by the Ideal…
A: The given differential equation is dTdVU=1CVP-T∂P∂TVTo find the algebraic expression for joules…
Q: The diameter of a gas molecule is 2:4 x 1-10 m. Calculate the mean free path at NTP. Given Boltzmann…
A:
Q: 0.55 mol of a nonlinear triatomic ideal gas with all vibrational modes frozen undergoes a process a…
A: A non-linear triatomic ideal gas with all vibrational modes frozen hence, the degree of freedom for…
Q: The density of gray and white tin are 5.77 x 10³ kg/m³ and 7.37 × 10³ kg/m³. The latent heat for the…
A: We are given densities of gray and white tin. We are also given latent heat of transition. We are…
Q: design an apparatus that could be constructed to measure the thermal conductivity of solid samples…
A: The thermal conductivity of solid cylindrical samples can be experimentally determined by…
Q: 3 gy2(=) ,K's 5nkT g5/2(=) KT nkT gy2(=)
A:
Q: 8.11. A thermally insulated cylinder, closed at both ends, is fitted with a frictionless heat-…
A: As of given that,System is thermally insulated so no heat flows in or out.While piston is in…
Q: Glasses are materials that are disordered – and not crystalline – at low temperatures. Here is a…
A:
Q: What is the temperature of 9.86 mol of a monatomic ideal gas having an internal energy of 42700 J?
A: Number of moles (n) = 9.86 Internal energy (U) = 42700 J Gas is monatomic.Thus, degree in freedom…
Q: What is the root-mean-square speed, in units of m/sec, of monatomic He atoms at a temperature of…
A:
Q: A white dwarf star is essentially a degenerate electron gas, with a bunch of nuclei mixed in to…
A: We know that at absolute zero temperature, the Fermi energy is the energy of the highest occupied…
Q: 8. What effect will a 0.10 atm error (reading is 0.10 atm. greater than the actual value) greater…
A:
Q: Compute the average kinetic energy of a gas molecule at 27C. Express results in electron volts. If…
A:
Q: Part A Calculate the partition function for this energy ladder at T=5.00K 95K = Submit Part B Cv =…
A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…
Q: aG =-S [3D.8]; hence =-S, and =-S, (G,-G) AS = S, - 5, = ) +*). -(-73.13+ 42.8Jx =-42.8JK
A:
Q: 3) The triple point of water occurs at T, = 0.01°C, P3 = 6 mbar. a) Sketch the phase diagram and…
A:
Q: Consider a simple harmonic oscillator with w = 3 x 10+* Hz. At a temperature of 321 K, what is the…
A:
Q: How would I derive the product PV for a gas of photons in relation to their total internal energy?…
A:
Q: Question A7 a) The Debye temperature of graphite is 413 K. Estimate its thermal conductivity at 300…
A: Part (a):The thermal conductivity (k) of a material can be related to its Debye temperature (ΘD) and…
Q: How much work do we have to do (in J, at a constant temperature) to atomize a liquid with a volume…
A:
Q: A certain molecule has f degrees of freedom. Show that an ideal gas consisting of such molecules has…
A: Let us consider the molecule has f degrees of freedom, then according to the equipartition energy…
Q: A mono-energetic, linear source emits S n/cm • s in an infinitely long cylindrical medium of radius…
A: Given that A mono energetic , linear source emits S neutron per centimeter sec in a long cylindrical…
Q: 2. Find the steady-state temperature distribution u in a solid semi-infinite cylinder of radius a if…
A: Concept: Given Boundary Condition are u=0 at r=1u=rsinθ at z=0Consideringu=R(r) Θ(θ)…
Q: Estimate the average thermal energy of a helium atom at (i) room temperature (36 °C), (ii) the…
A: Part (i): Room temperature is 36 degrees Celsius
Q: Total number of microstates of a system in a microcanonical cluster Ω = Ae ^ {B (VE) ^…
A: Number of microstates,Ω= Ae{B(VE)1/2}Now the entropy is,S=kBln Ω= kBln [Ae{B(VE)1/2}]or S= kBln A+…
Q: Question 4: Suppose that we want to think of energy as a function of temperature and volume, E(T,V).…
A:
Q: ») 0.55 mol of a nonlinear triatomic ideal gas with all vibrational modes frozen undergoes a process…
A: A non-linear triatomic ideal gasundergoes a process as shown in the T-S diagram.Given all…
Q: Calculate the ambipolar diffusion coefficient of intrinsic Ge at 350 K. p/p-2.1, -3900 cm² V-ls-¹. O…
A:
Q: Give the temperature T of 1 mole of ideal gas as a function of the pressure P, volume V, and the…
A: Temperature of 1 mole ideal gas is to be given in terms of P, V and R Internal energy(U) of diatomic…
Q: Calculate the kinetic energy of a gas molecule, given its temperature.
A: When Gas kept in a chamber, its pressure is given by, P=13ρC2RMSP=MC2RMS3V3PV=MC2RMS
Q: Estimate the average thermal energy of a helium atom at (i) room temperature (27 °C), (ii) the…
A: (i) At room temperature, T = 27°C = 300 K Thus, average thermal energy = kT x ( 3/2 ) Where k is…
Q: In a certain physical system, there are two energy states available to a particle: the ground state…
A: Energy of the ground state E1 = 0 eVEnergy of the excited state E2 = 1.5 eVTemperature of the system…
Q: For an iso-enthalpic process, dH = 0.
A: Iso-enthalpic process are the thermodynamic process at the constant enthalpy. The relation between…
Q: A process at constant volume pressure takes n mole vibrating diatomic from an initial temperature T…
A: initial temperature = T.final temperature = 3T.for diatomic molecule the degree of freedom for both…
Q: Consider a system consisting of N independent indistinguishable identical molecules, each of which…
A: Given data, Energy of state no = Eo = 0 Energy of state n1 = E1 Temperature of the system = T
Q: Show that for an ideal gas (@T/Əv)y = 0, and (ƏT/ƏP)H %3D
A: The internal energy of an ideal gas is function of only temperature, i.e. U≡32NkT…
Q: Lattice gas has N0 mesh points. If the gas mesh point is filled by an atom, the energy of the mesh…
A: Given:- Total number of mesh point = N 0 where atom is present.
Q: Derive the thermodynamic equation of state from the fundamental equation for enthalpy ән av (SP) ƏT…
A:
Q: Calculate the number of microstates that are available in a single atom of carbon in graphite. The…
A: To calculate the number of microstates available in a single atom of carbon in graphite, we can use…
Q: carburiz IZ
A: Given values: To estimate the time using the values as, X1 =2.1 mm,X2 =5.4 mm,t1 =10.2 h.
Q: A 0.825 mol sample of NO,(g) initially at 298 K and 1.00 atm is held at constant volume while enough…
A: NO2 is linear molecule. Since the heat is supplied at constant volume Work done W = P∆V = 0 All the…
Step by step
Solved in 2 steps with 2 images