A container is filled with a sample of gas having n molecules with speed a, 20, 30, . The ratio of ve speed to root mean square speed is 3(n+1) (1) V22n+1) (n+1) (2) V 2(2n +1) 5(2n+2) (3) 7(3n+1) 3(n+2) (4) 5(3n+2)
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- Question 4: Suppose that we want to think of energy as a function of temperature and volume, E(T,V). Show that the total differential dE may be written: dE = C,dT + T P %3D Kr(a) Hydrogen molecules (molar mass is equal to 2.016 g/mol) have vrms equal to 193 m/s. What is the temperature? (b) Much of the gas near the Sun is atomic hydrogen (H rather than H2). Its temperature would have to be 1.5 × 107 K for the rms speed vrms to equal the escape velocity from the Sun. What is that velocity?1. (a) What is the average kinetic energy in joules of a hydrogen atom on the 5500 °C surface of the Sun? The Boltzmann's constant is k=1.38x10-23 J/K J KE av: (b) What is the average kinetic energy of a helium atom in a region of the solar corona where the temperature is 6 x 105⁰K? KE av: J
- 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 ?1. (a) What is the average kinetic energy in joules of a hydrogen atom on the 5500 °C surface of the Sun? The Boltzmann's constant is k=1.38×10-23 J/K J KE av (b) What is the average kinetic energy of a helium atom in a region of the solar corona where the temperature is 6 x 105⁰K? KE Fav JThe vapor pressures of the components, A and B, in a binary solution have been modeled and found to obey хара exp(0.75 XB) A A exp(0.75x) where XÃ and are the mole fractions, and PA* and PB* are the vapor pressures of each pure substance at room temperature. (a) If PA* = 0.084 bar and the total pressure of a mixture with XA = 0.40 is 0.125 bars, what is PB*, the vapor pressure of pure B (in bars)? P = X P А P₁ = X_P B QUESTION 14 B B * * Continuation of the previous problem (b) Assuming that the vapor is an ideal gas, what is the mole fraction of component B in the vapor phase?
- A temperature rise of 3.10 ± 0.20 °C was measured when a reaction was carried out in a calorimeter with a heat capacity of 0.841 ± 0.014 kJ °C -1 .The enthalpy change (Δ H ) was worked out as -2.61 kJ by using the equation:Enthalpy change (Δ H ) = heat capacity ( c ) × temperature change ( T )What is the root-squared error (in kJ) for Δ H ?Quote your answer to two decimal places.When you submit your answer, do NOT include units.(The minus sign in front of the enthalpy change indicates that the reaction is exothermic; don't include it in your calculation.)Please Asapthe 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.
- A Geiger-Muller tube is a type of gas-filled radiation detector. It can detect particles like X-rays, alpha particles, and beta rays (electrons). This is useful in quantizing the activity of a radioactive source or determining if an area containing radioactive material is safe to enter. If a Geiger counter is filled with 1 mol of argon gas at pressure P = 1.0620 × 10ª Pa and temperature T = 20.0 °C, what is the density p of the gas in this Geiger tube in grams per cubic centimeter? The atomic mass of argon is aa, = 39.948 g/mol. g/cm3What would this one be I need help.In kinetic theory of gases, atoms are modeled as point masses m with mean speed v related to temperature T by m v^2 = 3 k T, where k is Boltzmann’s constant. Assuming gas atoms travel several thousand Angstroms between collisions with each other, how cool would hydrogen gas need to be before quantum mechanics would have to be taken into consideration?