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A circular coil of wire 0.0275 m in radius, having 25 turns, lies in a horizontal plane. It carries a current of 3.00 A in a

counterclockwise rotation when viewed from above. The coil is in the magnetic field directed towards the right with a

magnitude of 1.20 T. Find the magnetic moment and the torque on the coil.


Visualize a substance with the following points on the phase diagram: a triple point at 0.5 atm and 150 K; a normal melting point at 175 K; a normal boiling point at 350 K; and a critical point at 2.0 atm and 450 K. The solid liquid line is โ€œnormalโ€ (meaning positive sloping). For this, complete the following:

a) Roughly sketch the phase diagram, using units of atmosphere and Kelvin. Label the area 1, 2, and 3, and points T and C on the diagram.


b) Describe what one would see at pressures and temperatures above 2.0 atm and 450 K.


c) Describe the phase changes from 50 K to 250 K at 1.5 atm.


d) What exists in a system that is at 1 atm and 350 K?


e) What exists in a system that is at 1 atm and 175 K?


Evaluate using Greenโ€™s Theorem โˆฎ 3๐‘ฅ๐‘ฆ๐‘‘๐‘ฅ + 2๐‘ฅ๐‘ฆ๐‘‘๐‘ฆ, where ๐ถ is the rectangle bounded by


๐‘ฅ = โˆ’2, ๐‘ฅ = 4, ๐‘ฆ = 1 and ๐‘ฆ = 2.


In the commercial preparation of Hydrogen Chloride, what weight of HCl in grams may be obtained by heating 468 grams of NaCl with H2S04.


2NaCl + H2S04 ๔ฐ€ NaSO4 + 2HCl


Calculate the Vmax and Km for all reactions in Table 4 and classify type of inhibition for both compounds.



Table 4



No compound (Reference)


[S] - [V]


1 - 0.0510


2 - 0.0720


4 - 0.0950


6 - 0.0150


8 - 0.1110


10 - 0.1070


12 - 0.1120



Compound A



[S] - [V]


1 - 0.0397


2 - 0.0568


4 - 0.0724


6 - 0.0798


8 - 0.0840


10 - 0.0868


12 - 0.0887



Compound B



[S] - [V]


1 - 0.0333


2 - 0.0529


4 - 0.0749


6 - 0.0870


8 - 0.0947


10 - 0.0999


12 - 0.1038



To make a solution, 40 g of a nonelectrolyte is dissolved into 300 g of water. The freezing point depression of the solution is measured to be -7ยฐC. Calculate the molar mass of the solute.


Calculate the boiling point elevation of an aqueous solution containing 36 grams of sucrose (C12H22O11) (MW=342g/mol) in 250 grams of water. The boiling point elevation constant for water is 0.512 degree Celsius per mole.


4. The mean hemoglobin level in the blood for a certain large group of individuals is 21.0 grams per milliliter (g/ml). The standard deviation is 2 g/ml. If a sample of 25 individuals is selected, find the probability that the mean will be greater than 21.3 g/ml. Assume that the variable is normally distributed.

1. A beam of protons, each with charge ๐‘ž โ‰… 1.60 ร— 10โˆ’19๐ถ, is moving at 4.50 ร— 105๐‘š/๐‘  through a uniform magnetic


field with magnitude 0.60 T. The direction of motion of the protons is to the right, and the magnetic field direction is downward-right, at an angle of ๐œƒ = ๐œ‹ 6 ๐‘Ÿ๐‘Ž๐‘‘๐‘–๐‘Ž๐‘›๐‘  from the proton direction. Find the magnetic force acting on each


proton.




2. A straight copper wire carries a 6.0 A current from left to right in a region between the poles of large


electromagnet where a horizontal magnetic field directed at northeast with a magnitude of 2.10 T at 30 degrees


northeast. What is the magnetic force on a 2m section of a wire?

ย Television advertisers value the well-known Radio and TV awards scheme RTP as a measure of a TV/Radio showโ€™s popularity among viewers. The RTP rating of a certain TV program is an estimate of the proportion of viewers, expressed as a percentage, who watch the program on a given day. In one survey, the RTP ratings team found that 101 out of 165 sampled families watched โ€œThe KSM Showโ€ on the night of its premiere (the first time it is shown on television). In a separate survey several years later, the RTP ratings team found that 97 out of 180 sampled families watched โ€œMusic Music on TV3โ€ on its premiere. (a) Estimate the true proportion p1 of all TV-viewing families who watched the premiere of โ€œThe KSM Showโ€ and obtain a 95% confidence interval for p1. (b) Briefly explain what this 95% confidence interval means. (c) If the RTP team wanted to guarantee that all proportions are estimated to within ยฑ0.05 with 95% confidence, how large should their samples be?


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