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Problem 6: Ripening (10 points) A 1 cm$^2$ clean surface at room temperature is covered with 3 x 10$^{10}$ hemispherical tantalum clusters with equal numbers that are either 10 or 50 nm in diameter. The surface energy/tension of tantalum is $\gamma_{Ta} = 2890 \frac{ergs}{cm^2}$ at 25°C. The molar mass of tantalum is 180.95 g/mol. The density is 16.65 g/cm$^3$. (a) What is the Laplace pressure for both a small cluster and a large cluster? Describe the driving force for ripening by comparing the Laplace pressures for each cluster. (b) If ripening allows the large clusters to consume all the small clusters, what will be the reduction of the tantalum's surface energy? (c) Now, the substrate is heated to 2300°C. What is the vapor pressure above the 50 nm hemispherical cluster? Assume the vapor pressure above a flat tantalum surface is 3.0 x 10$^{-4}$ Torr at 2300°C and that the surface energy is invariant of temperature.

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Economics :- Dont Use Ai i give downvotes defnitely sure A developing nation has borrowed heavily from foreign countries to finance infrastructure projects. Over time, the repayment burden has increased, and the country is struggling to earn enough foreign exchange to pay back its loans. Which macroeconomic problem does this situation reflect? Fiscal deficit Balance of payments crisis Inflation Structural unemployment

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the value of the currency is allowed to fluctuate freely according to market forces, with little of no intervention from the central bank. Which exchange rate mechanism is it

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According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $ \$ 50,000 $ is $ 80 \% $. Of the households surveyed, $ 60 \% $ had incomes over $ \$ 50,000 $ and $ 70 \% $ had 2 cars. The probability that annual household income is over $ \$ 50,000 $ if the residents of a household own 2 cars is: A. 0.69 B. 0.56 C. 0.48 D. 0.42

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You decided to take the pH after each addition of 5.0 mL of NaOH rather than after every 0.5 mL during the neutralization of your acid sample. would pKa be too high, too low or unchanged

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The nation’s unemployment rate hit 25 percent during the Great Depression. African American unemployment was __________. Group of answer choices equal half impossible to measure double

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Question 9 Since the late 1950s, economists have performed \"growth accounting\" studies in the United States. These have determined that the most important contributor to U.S. economic growth is typically: tax cuts. physical capital. dergulation. technology. entrepreneurship. 2 pts

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June divorce decree call for her to pay her former spouse Jonathan $500 a month as child support and 250 a month as alimony June fails to pay Jonathan in May August and November the divorce decree was finalized on July 1, 2018 the amount June May deduct is alimony paid to paid is limited to

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Question 8 (1 point) A bicyclist travels 5.5 km west and then 2.5 km east. Her displacement is 8.0 km west. True False Question 9 (1 point)

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Fournier' Gangrenea. is commonly associated with diabetes or malnutrition. b. surgical debridement is done several days later. c. is an aggressive soft tissue infection of the lumbar region.d. broad- spectrum antibiotics are initiated on presentation.

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