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 โnormalโ (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 Greenโs Theorem โฎ 3๐ฅ๐ฆ๐๐ฅ + 2๐ฅ๐ฆ๐๐ฆ, where ๐ถ is the rectangle bounded by
๐ฅ = โ2, ๐ฅ = 4, ๐ฆ = 1 and ๐ฆ = 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 ๔ฐ 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 โ 1.60 ร 10โ19๐ถ, is moving at 4.50 ร 105๐/๐ 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 = ๐ 6 ๐๐๐๐๐๐๐ 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 showโs 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 โThe 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 โMusic Music on TV3โ on its premiere. (a) Estimate the true proportion p1 of all TV-viewing families who watched the premiere of โThe 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?