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- Compute the average kinetic energy of a gas molecule at 27C. Express results in electron volts. If the gas ishydrogen, what is the order of magnitude of the velocity of the molecules at 27C.What is the root mean square velocity, vrms, for Helium atom (He) at 22oC? Hint: How many amu does an He atom contain? 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)Q. find the taglor expansion of fos= Since) at where foo is analyte function: AL-KAMAL PAPER PRODUCTS RAJPOUT MARKET,URDU BAZAR LAHORE.042-37210220
- Suppose a gas of 87 Rb atoms is trapped in an atomic trap. If the average separation between nearest neighbour atoms in the trap is approximately (a) 100 times or (b) 10 times the atomic radius (265 pm), find the temperature at which you would expect Bose-Einstein condensation to occur. Make the same calculation for 23 Na (atomic radius 190 pm). Give your answers in Kelvin.Find the ratio f(vp)/f(vrms) for hydrogen gas ( M=2.02 g/mol) at a temperature of 77.0 K.Using the method of the preceding problem, estimate the fraction of nitric oxide (NO) molecules at a temperature of 250 K that have energies between 3.451021 J and 3.501021 J. `
- What is the root-mean-square speed, in units of m/sec, of monatomic He atoms at a temperature of 24.1°C?You are studying a gas known as "gopherine" and looking in the literature you find that someone has reported the partition function for one molecule of this gas, 5/2 AzT q(V, T) = ) %3D h?m Assume that the molecules are independent and indistinguishable. Derive the expressions for the energy, (E), for this gas. Give your answers in terms of N, kg, T. V and the constants A and B. O (E) = NkaT ㅇ (E) =D NkaT ㅇ (E) %3D NkaT- O (E) = ANKET - O (E) = - T ㅇ (E)=D 쑤-Find vrms for H2 gas and N2 gas, both at T = 293 K.
- 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)For one mole of Van der Waals gas, find Pc, Vc, and Tc from the condition T, dP / dV = 0 d'P / dV 2= 0 at constant temperature. Find the Pc Vc/ RTc ratio.What is the root-mean-square speed, in units of m/sec, of monatomic Ne atoms at a temperature of 24.1°C?