When a collection of two-level systems is in equilibrium at temperature T, , the ratio of the population in the lower and upper levels is 2:1. When the temperature is changed to T, the ratio is 8:1. Then (a) T = 27, (b) T, = 2T (c) T, = 3T (d) T, = 47T %3D
Q: Smoke particles in the air typically have masses on the order of 10-16 kg. The Brownian motion…
A: Given information: The mass of smoke particles, m=3.00×10-16 kg The temperature of the air, T=300 K…
Q: Assume the Earth’s atmosphere has a uniform temperature of 20.0°C and uniform composition, with an…
A: According to the Boltzmann distribution law, the number of molecules per unit volume with energy…
Q: Calculate the internal energy, Uinternal -in Joules- of 3.2 moles of a monoatomic gas, if Cv,…
A: The solution for this question has been solved below...
Q: he pressure P and volume V of an expanding gas are related by the formula PV^b=c, where b and c are…
A: Given, Relation between pressure and volume of the expanding gas, PVb = c b = 1.5P= 7 kPaV = 110…
Q: at heat transfer
A:
Q: 2. (a) Show that the mean speed of a nitrogen molecule at 300 K is 476 ms™, (b) What is the ratio of…
A: (a) Given: T=300K The mean speed will by given by:
Q: What is the ratio of their root-mean-square speeds?
A: Ratio of root mean squared speed is 3.16 when rounded off as per available options then it will be…
Q: Problem 3: ihe escape speed of any object from Earth is around 11.1 km/s. > A At what temperature,…
A:
Q: a) What is the volume of the bubble at the surface? b) What is the root mean square speed of…
A: Boyle's Law Keeping the temperature constant, the volume occupied by a gas is inversely proportional…
Q: A steel measuring tape used by a civil engineer is 50metres long and calibrated at 20oC. The tape…
A: Force brings about motion and changes in it. The net force and effect of all forces become clear by…
Q: av (2) Show that heat capacity at constant pressure Cp is given by (247) ƏT Cp = + p
A:
Q: How many atoms are in a 1.60 cm x 1.60 cm x 1.60 cm cube of aluminum? Submit ΑΣΦ Request Answer C ?…
A: Side of cube ( s ) = 1.60 cm Cube is made up of aluminium ( Al )
Q: The probability of a molecule of mass (m) in a gas at temp (7) having a speed of (c) is given by:…
A: Solution:-Given thatp=c2×m2πkT32×e-mc22kTmaximum probability is found when c=2kTm
Q: For a gas, Cp = Cy+ R only when it is ideal. True False
A: Solution:-Given thatFor a gas, Cp=Cv+R only when it is ideal
Q: The molar heat capacity at constant pressure of carbon dioxide is 29.14 J/K.mol. (a) What is the…
A:
Q: A polytropic process of air from 150 psia, 300°F, and 1 ft3 occurs to P = 20 psia in accordance with…
A: Given Pressure P1 = 150 psia Pressure P2 = 20 psia Temperature T1 = 300° F Volume V1…
Q: In the 2011 nuclear accident at Fukushima, Japan, an ENV earthquake-triggered tsunami wiped out…
A:
Q: The figure (not to scale) shows a pV diagram for 10 dg of helium gas (He) that undergoes the process…
A:
Q: The mean free path λ and the mean collision time T of molecules of a diatomic gas with molecular…
A:
Q: In an electrochemical cell, a metal anode lost 0.287 g while a total volume of 0.04651 L of hydrogen…
A: The pressure of Hydrogen will be = 765.9 - 23.88 = 742.02 mm / hg = 0.976 atm Nuclear Mass of…
Q: If the mean square fluctuations in energy of a system in equilibrium at temperature T is…
A:


Step by step
Solved in 2 steps with 2 images

- Working with a lab partner, a gas sample is prepared with a pressure of 1.25 bar at T = 350 K. You leave the room for a few minutes, during which time your lab partner alters the sample so that it has a pressure of 0.75 bar and T = 210 K, but you don't know how this was done. You carefully restore the system to its initial conditions and determine that the enthalpy change for the process you used was AH = 427 J. What enthalpy change occurred for the process your lab partner performed while you were gone? OOJ 427 J O-427 J O cannot be determinedA certain element has a mass per mole of 9.0122 g/mol. What is the mass of a single atom in (a) atomic mass units and (b) kilograms? (c) How many moles of atoms are in a 277-g sample? (a) matom (b) matom= (c) n = i iAn aluminum coffee mug has in inner diameter of 2.50 cm at room temperature (20.0° C). If someone accidentally leaves the cup on the stove burner its temperature could rise to 300° C. What would be the inner diameter then? (keep 4 significant figures in your answer) Linear coefficient of expansion for copper, Caluminum = 24 X 10-6/C° Area coefficient of expansion for copper, Yaluminum = 48 X 10-/C° Volume coefficient of expansion for copper, Baluminum = 72 X 106/C°
- A certain molecule has f degrees of freedom. Show that an ideal gas consisting of such molecules has the following properties: (1) its total internal energy is fnRT/2; (2) its molar specific heat at constant volume is fR/2; (3) its molar specific heat at constant pressure is (f+ 2)R/2; (4) its specific heat ratio is y = Cp/ Cy = (f+ 2)/f. %3D %3DThe escape velocity of any object from Earth is 11.1 km/s. At what temperature would oxygen molecules (molar mass is equal to 32.0 g/mol) have root-mean-square velocity vrms equal to Earth’s escape velocity of 11.1 km/s?A sample of argon gas is at a pressure of 1.5 x 105 Pa and a temper- ature of 350 K. (a) Determine the number of argon atoms per unit volume. (b) Estimate the speed of the argon atoms between collisions. (c) Estimate the number of collisions that a single atom of argon makes per second. The diameter of an argon atom is approxi- mately 3.4 x 10-10 m.
- Cp and Cy are specific heats at constant pressure and constant volume, respectively. It is observed that P C₁ Cv = a for hydrogen gas C₂ - Cy = b for nitrogen gas. The correct relation between a and b is - Cy р (2017 Main) 1 (a) a = b (b) a = 14b (c) a = 28b - b 14 (d) a =Consider a gas that follows the equation of state NRT aN² 2 P V - bN V2 This is called van der Waals gas (a,b > 0). For temperatures T > Tc : monotonically decreasing function. Assume T > Tc and Cy = 3NR/2. = 8a p(V) is a 27Rb Consider an insulated box with volume V₁. The box was divided by a wall. One of the compartments had volume Vo at temperature To, which was filled with van der Waals gas of amount N. The other compartment was vacuum. The system was in equilibrium. (i) The wall was removed abruptly. The gas expanded and occupied the entire box. This process is called adiabatic free expansion. The temperature in the box is now T₁ in equilibrium. What is T₁ - To? (ii) The internal energy of the gas does not change by adiabatic free expansion. Why? (iii) Instead of the abrupt removal, the wall was moved through adiabatic and quasi-static process, and the gas expanded to the entire volume of the box. The temperature in the box is now T2 in equilibrium. What is T₂? (iv) Show T₁ > T₂,…2 mol of an ideal monoatomic gas moves from State 1 to State 2 P at constant pressure 1000 Pa and size V1=2 m3,V2 =3 m3. Calculated value W, Q, U, TI, T2
- The 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?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.The vapor pressure is the pressure of the vaporphase of a substance when it is in equilibrium with the solid or liquid phaseof the substance. The relative humidity is the partial pressure of watervapor in the air divided by the vapor pressure of water at that same temperature,expressed as a percentage. The air is saturated when the humidityis 100%. (a) The vapor pressure of water at 20.0C is 2.34 * 10^3 Pa.If the air temperature is 20.0C and the relative humidity is 60%, what isthe partial pressure of water vapor in the atmosphere (that is, the pressuredue to water vapor alone)? (b) Under the conditions of part (a), what is themass of water in 1.00 m3 of air? (The molar mass of water is 18.0 g>mol.Assume that water vapor can be treated as an ideal gas.)