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- What is the average thermal velocity of a hydrogen molecule H at 27 \deg C? (Assume: Boltzmann constant = 1.38 x 10-23 J/K and the mass of H is m = 3.32 x 10-27 kg)The average thermal energy for a mono-atomic gas is: (kB is Boltzmann constant and T, absolute temperature) kBT kBT kBT1. The expression for free energy as a function of temperature of a system with two states, one at energy 0 and other at 2e is A) F=-k T log(1-2B) F=-k Tlog(1+2) C) F=-k Tlog(1-²0¹²) D)F=-k Tlog(1+²) E) F = k₂Tlog(1+₂³) 2. For a gas of 'N photons having definite frequency w, the specific heat at constant volume is: A) Directly proportional to T C) Directly proportional to T B) Directly proportional to 7¹2 D) Stays constant E) Inversely proportional to T
- 2. 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 LL2. (a) H2O (g) obeys the truncated viral equation of state given below at 400 K and up to 100 bar pressure. nRT n'RTB(T) P= + V Calculate the amount of work done as 2.00 mol of H2O (g) expands reversibly and isothermally from 2.00 to 50.0 dm³ at 400 K with B(T) = B(400 K) = -356 cm³ mol-'. (b) An ideal gas is expanded reversibly and isothermally. Decide which of q, w, AU, and AH are 0, positive, or negative.Room temperature is 20 °C. Calculate the ratio v₂/V1, where v₁ = the rms speed of a nitrogen molecule (mass = 30 u) and v₂ = the speed of a helium atom (mass = 4 u), in the room. V1 OA: 2.74 OB: 3.64 OC: 4.84 OD: 6.44 OE: 8.57 OF: 11.40 OG: 15.16 OH: 20.16
- I silved this problem in 2 different ways and am getting very different answers. Can you help me see which one is correct? 1.) So W=0 deltaU = Q + 0 deltaU = mcT deltaU = (100g)(4.186J/gK)(5K) deltaU = 2093J or 2.) U= (0.1 liters*278.15 Kelvin*4.186 constant) Then calculating the answer is 116.43J Please help1 - : Use the plot of B2(T) vs T given below and the information below to show that the inversion temp is approx. 620K. Cp =5R/2 R= gas constant =0.08205 dm² atm K' mol- В. (Т) 1+ ´@B,(T)) Virial Eq. RT 25 20 15 10. SE 300 400 500 600 700 800 Temp(K) B,(cnmol)The density of silver is 9.5 g/cm3, the gas constant of 8.62 x10 eV/atom-K, the temperature of 500 °C, the number of atoms of 5.26x1028 m3 and the number of vacancies of 3.58x1023 m3. Calculate the activation energy for vacancy formation in silver. O a. 0.88 eV/atom O b. 0.79 eV/atom O c. 0.97 eV/atom O d. 0.89 eV/atom
- 3b.1. Show that the heat capacity at the high T limit and the low T limit are: at high T: → Cv = 3R at low T: E T ⒸE 1 -> 0 2 ² (5) *exp(-OF) → Cv (T) ≈ 3RCompute for the "thermal effective mass" mtherm of the Lithium metal given y(exp) and yo(free electron) where Metal Li mỗ mtherm = Yo y (exp) and mỗ = m (effective mass of electron) y (exp), mJ mol-¹K-2 1.63 Yo (free electron), mJmol-¹K-² 0.75A 6.2 L balloon is filled with He at 1.00bar pressure and 298 K. How many He atoms are in the balloon? Answer: