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- “Diffusion” sounds slow—and over everyday distances it is—but on the scale of a cell it is very fast. The average instantaneous velocity of a particle in solution—that is, the velocity between its very frequent collisions—isv = (kT/m)½where k = 1.38 × 10–16 g cm2/K sec2, T = temperature in K (37°C is 310 K), and m = mass in g/molecule.Calculate the instantaneous velocity of a water molecule (molecular mass = 18 daltons), a glucose molecule (molecular mass = 180 daltons), and a myoglobin molecule (molecular mass = 15,000 daltons) at 37°C. Just for fun, convert these numbers into kilometers/hour. Before you do any calculations, you might try to guess whether the molecules are moving at a slow crawl (<1 km/hr), an easy walk (5 km/hr), or a record-setting sprint (40 km/hr)Your spaceship has docked at a space station above Mars. The temperature inside the space station is a carefully controlled 24 ∘C at a pressure of 745 mmHg. A balloon with a volume of 437 mL drifts into the airlock where the temperature is −95 ∘C and the pressure is 0.115 atm. What is the final volume, in milliliters, of the balloon if n does not change and the balloon is very elastic?Determine the average speed of an air particle at 15 oC. The mass of one air particle is about 4.81*10^-26 kg.
- (a) What is the number of molecules per cubic meter in air at 20C and at a pressure of 1.0 atm (= 1.01 * 10^5 Pa)? (b) What is the mass of 1.0 m3 of this air? Assume that 75% of the molecules are nitrogen (N2) and 25% are oxygen (O2).A rocket is designed to produce 5 MN of thrust at sea level (assume ambient pressure of 0.1 MPa). The pressure in the combustion chamber is 7 MPa and temperature 2800 K. If the working fluid is assumed to be an ideal gas at room temperature with properties of N2 gas at room temperature (molecular weight 28 kg/kmole). Determine specific impulse, mass flow rate, characteristics velocity and throat diameter.(Take R=8314 J/kmole-K, specific heat ratio 1.4 and nozzle exit pressure as 0.1 MPa)Q1/ If H = U + PV, find the relations between G and FH.
- A vertical glass tube of length L = 1.3m is half filled with a liquid at 18.7 ˚C. How much will the height of the liquid column change when the tube is heated to 31.8 ˚C? Take αglass = 1.46× 10-5/K and βliquid = 4.37× 10-5/K.A 3m^3 cylindrical tank contains nitrogen gas at 1500kPa and 37C. After some of this gas was used, the pressure and temperature fall to 1260kPa and 28 C. What is the percentage in mass of the nitrogen gas used?The gauge pressure in your car tires is 2.50x10^5 n/m^2 at a temperature of 35.0 C when you drive it onto a ferry boat to Alaska What is their gauge pressure later, when their temperature has dropped to -40.0 C? Write your answer in atm and your answer must have three significant figures 26.62 1.62 15.62 0.52
- Using Area-Moment Method. Consider 150 mm x 150 mm section and E = 80 GPa. a=2.8 b=24.0 c=28 Determine the following: Vertical Reaction at B in kN. Moment Reaction at A in kN-m.The molecules in a six-particle gas have velocities V₁ = (20î - 30ĵ) m/s v2 = (40î +90ĵ) m/s V3 v3 = (-802 +20ĵ) m/s V4 = 30î m/s v5 (402 403) m/s v₁ = (-50 î – 40ĵ) m/s = Calculate Vavg. Express the x and y components of the velocity in meters per second separated by a comma. Ur avg, Uy avg Submit Part B VE ΑΣΦ Request Answer Calculate Vavg. Express your answer with the appropriate units. ? m/sFor the reaction below the partial pressure of NO₂ is 0.25 atm and the partial pressure of N₂O₄ is 1.0 atm. What is the Q of the reaction? 2 NO₂ (g) ⇌ N₂O₄ (g) Kp = 0.25