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- MV? exp(- 2RT dN M F(V)dV: 47( 2ART %3D N where dN, the number of particles having a velocity between v and v+dV, V velocity of molecules, M moleculer mass of gase, T temperature >= V i = AP(A)S 0.What is the root mean square velocity, vrms, for Helium atom (He) at 66oC? 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)The total power emitted by a spherical black body of radius Rat a temperature T is P,. R Let P, be the total power emitted by another spherical black body of radius kept at 2 temperature 27T . The ratio, is (Give your answer upto two decimal places) P2
- In the question its asks for the rate of energy transfer P after you find what the interface temperature T is. Upon completion from submitting T in into the intial rate equation the final expansion gives: P = A(Th - Tc) / (L1/ k1) + (L2/ k2) I understand how T was achieved from expanding the P1 = P2 substitution, but how is P found from inserting T into P1 = k1A (T - Tc / L1)?A hypothetical speed distribution of gas molecules is defined as follows: P(v) = 0 for 0≤v < vo P(v) = 0.21 for vo ≤ v << 2vo P(v) = 0 for 2v0 < v where P(v) is the probability distribution as a function of speed, v. a) Use the normalisation condition to find the value of v. b) What percentage of the gas molecules has its speed between vo and/vo? c) What percentage of the gas molecules has its speed between 0 and 2 ?The pressure in a chemical reaction chamber at time t minutes is given by p(t) = 60 arctan(2 + 3t2) kilopascals. (a) Find p'(2). Include the correct units (b) Give a complete sentence interpretation of your answer to part (a) in the context of this problem.
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- Derive Kelvin’s formula and the maximum free energy formula: rd* = 2 σLV /nL RT ln S ΔG = 16 π σLV^3 / 3 (nL RT ln S)^2 where σLV =surface tension, nL = moles of liquid water per unit volume, R = universal gas constant, T = temperature S = supersaturation pure liquid water = e/es(T) : e = water vapor partial pressure The first equation can also be rearranged to give an expression for the supersaturation, S: ln S = 2 σLV /nL RT rd* or S = exp(2 σLV /nL RT rd*)The mean flee path for helium at a certain temperature and pressure is 2.10107 m. The radius of a helium atom can be taken as 1.101011 m. What is the measure of the density of helium under those conditions (a) in molecules per cubic meter and (b) in moles per cubic meter? `Additional Info: ∫ vdP is integral of volume with respect to Pressure ∫ pdV is integral of pressure with respect to Volume. Please give solutions to the given questions in the problem.