1.3 Show how d In K/dT = AH/RT2 can be used to obtain a plot where...
The rate of cooling of a body can be expressed as dT dt :-k(T-T) where T = temperature of the body (°C), Ta= temperature of the surrounding medium (°C), and k=a proportionality constant (per minute). Thus, this equation (called Newton's law of cooling) specifies that the rate of cooling is proportional to the difference in the temperatures of the body and of the surrounding medium. If a metal ball heated to 80 °C is dropped into a lake where the...
How can I integrate the first equation to obtain the last integrated equation? Please show all steps 5.3.1 Radiation Only ration and convection is either n If there is no imposed heat flux or gene or negligible rel ative to radiation, Equation 5.15 reduces to Separating variables and integrating from the initial condition to any time t, i ens.ro dt = Evaluating both integrals and rearranging, the time required to reach the temper becomes sur +T In nsur Tsur T...
Explain how cyclic voltammetry can be used to obtain a value for the rate constant, k.
Here are the equations: dt dr where Ca and Cain are concentrations of A (moles A/L) in the reactor and in the feed respectively. Likewise Cs and Csn are concentrations of B (moles B/L) The manipulated input, D, is the dilution rate in min. The rate constant used is k- 14 1/(moles A/L)Xmoles B/L)min) Cain is 15 moles A/L. Cu is 20 moles B/L. Simulate for 30 minutes. If used sample time of 0.5 minutes. % Simulation Parameter t end-30;...
1. Show how AHA can be calculated from AH. AH, and AH. 2. A student following the procedure in this experiment acquired temperature as a function of time data in order to determine the heat capacity of the calorimeter. Based on a plot of these data and extrapolation back to time zero, the student determined the final temperature to be 13.6 °C The room temperature water had a volume of 48.9 mL. The cold water had a volume of 49.0...
The general water budget for a watershed can be written as dS dt Where I represents inputs to the watershed and Q represents outflows. The watershed can be approximated as a "linear reservoir", in which outflow and storage are related via a linear relationship: Q= KS where K is a constant called the "reservoir coefficient" A precipitation event of constant intensity Po and duration τ as shown in Figure 1 (a) is the only inflow to the watershed. Assume that...
The single degree of freedom model of a vehicle shown below will be used to obtain a first approximation of the dynamic behavior of the entire vehicle. The mass m of the vehicle is 1200 kg when fully loaded and 400 kg when empty. The spring constant k is 400 kN/m and the damping ratio ζf is 0.4 when the vehicle is fully loaded. The vehicle is traveling at 100 km/h over a road whose surface has a sinusoidally varying...
dn (a) Show that L[i" f(t)] = (-1)" (t) for any positive integer n 2 1 dsn a d K(s, t)f(t) dt / ) est = tne-8t and assume that K(s, t)f(t) dt. Hint: (-1)" as ds (b) Use the above formula to compute L[t? cost]. dn (a) Show that L[i" f(t)] = (-1)" (t) for any positive integer n 2 1 dsn a d K(s, t)f(t) dt / ) est = tne-8t and assume that K(s, t)f(t) dt. Hint:...
Case wTIEle u - D. 3.53. Show that the Frenet-Serret formulas can be written dT = wx T, ds dB = wx B. ds in the form Also, determine w. =wxN, ds Case wTIEle u - D. 3.53. Show that the Frenet-Serret formulas can be written dT = wx T, ds dB = wx B. ds in the form Also, determine w. =wxN, ds
Graph should be ln(p) vs 1/T Please show graph and full work for problem Will rate! Please and thank you! o.18 crm , at 95 %c.1. 3) Data for the vapor pressure of an unknown liquid are given T(C) 84 622, 1.433 694.,542 740 775 398 →5.4 40.4 01 43.4 27.0 30.1 32.8 36.5 484. .182 45.2 550,3 1O 469 The above data can be analyzed by the Clausius-Clapeyron equation According to that equation d (I/T)R where p is the...