If one mole of a monoatomic gas of (y = 5/3) is mixed with one mole of diatomic then the (y=715) value of y for the mixture will be, gas, (a) 1.5 (b) 1.54 (c) 1.4 (d) 1.45
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- You need to design a gas with a y (= Cp/Cv) value of 1.5. While no individual gas has this value, you could produce such a gas by mixing together a monatomic gas and a diatomic gas. What fraction or percentage of the molecules in the mixture needs to be monatomic? [Hint: for a monatomic gas Cv = (3/2)R and for a diamotic gas Cy (5/2) R.] =the partition function of an ideal gas of diatomic molecules in an external electric field & is [g(V, T, 8)]" Q(N, V, T, 8) N! where (2mmkT 312 (87 IkT -hv/2kT e q(V,T, 8)= V{ h2 (kT' (µ8 sinh kT) h2 (1 – e-hv/kT) Here I is the moment of inertia of the molecule; v is its fundamental vibrational frequency; and u is its dipole moment. Using this partition function along with the thermodynamic relation, dA = -S dT –p dV – M de where M=Nū, where u is the average dipole moment of a molecule in the direction of the external field &, show that kT] coth kT, Sketch this result versus & from & =0 to & =∞ and interpret it.On a hot summer day, the density of air at atmospheric pressure at 35 °C is 1.1455 kg/m3. What is the number of moles contained in 1 m3 of ideal gas at this temperature and pressure? Avogadro’s number of air molecules has a mass of 2.85×10-2kg. what is the mass of 1 m3 of air? Does the value calculated in part (B) agree with the stated density of air at this temperature?
- An argon-40 atom has a mass of 6.64 ✕ 10−26 kg. (a) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 ✕ 104 m/s? K (b) What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 ✕ 103 m/s? KThe temperature of 3.00 moles of argon gas is lowered from 2.50 102 K to 2.00 102 K. (a) Find the change in the internal energy, ΔU, of the gas. J(b) Find the change in the average kinetic energy per atom.