6) Calculate the wavelength of an electron, in pm, when its velocity is 2.9978 x 106 m/s.

A digital watch draws 0.230 mA of current provided by a battery whose net reaction is:

HgO(s) + Zn(s) ----> ZnO(s) + Hg(l)

If a partially used battery contains 0.350 gm each of the four substances for how many more hours will the watch run? Hint: First determine the limiting reagent.

Gold has a density of 19.3 g/cm^3. Current price is $1192 per troy ounce. What is the value of a cube of a gold with a side length of 1 inch? (1 troy ounce = 31.1g) (2.54cm=1inch)

At the end of 2012, global population was about 7.0 billion people. What mass of glucose in kg would be needed to provide 1500 cal/person/day of nourishment to the global population for one year? Assume that glucose is metabolized entirely to CO2(g) and H2O(l) according to the following thermochemical equation:

C₆H₁₂O₆(s)+6O₂(g)⟶6CO₂(g)+6H₂O(l)

ΔH∘=−2803kJ

calculate the mass defect and nuclear binding energy per nucleon (in mev) for c-16, a radioactive isotope of carbon with a mass of 16.014701 amu.

HOT COFFEE:

Your breakfast restaurant needs to buy a container to hold coffee. Generally, restaurants wish to have container that can either quickly cool the coffee to a drinkable range, and/or keep the coffee in that drinkable range for as long as possible. Quite often, one container is not the “best” at achieving both of these outcomes.

From the three container models provided, recommend the container that provides the best solution for your restaurant. (Think about situations where you may want the coffee to cool to the drinkable range sooner or situations where you would want the coffee to stay in the drinkable range longer)

Project Information:

The drinkable range for coffee is considered to be between 130°F to 110°F. Coffee is brewed at 212°F.

Here are the three models of containers:

Calculations

 Your math work does not need to be typed, that can be written by hand, but it should be done neatly.

 Graphs MUST be printed out using TI-Connect software for the TI calculator or some other graphing software. (This is available in the Math Centers)

 If you solve graphically, then you’ll need to include additional graphs showing how you arrived at the solution

For each of these containers, provide these calculations:

First, you need to find the k value for EACH container. (three separate problems)

Use Newton’s law of cooling: u(t)=T +(u0 -T)e^kt

 u(t) is your temperature after time t, in minutes;

 T is the temperature of the surrounding medium (as in air temperature in

the room);

 u0 indicates the initial temperature;

 k is the constant (which in this case should be negative, since the

temperature is cooling

 For finding k, use and initial temperature of 200°F.

Use the value k to set up the particular variation of the cooling function, u(t), for

each model of container.

Next, figure out how long it takes the containers to cool the coffee to the upper

level of the “drinkable” range (130o) – (For this and the next, use an initial temp of

212°F.)

Then, figure out the time it takes to get to the lowest level of the drinkable range

(110o).

Please show a graph for each container. The graph should contain a function for

the container and show the intersections with 130 o and 110 o temperatures in an appropriate window.

 There should be entries in Y1= u(t) , Y2=130, and Y3=110.

MAT 195 Precalculus Eng/Sci Newton’s Law of Cooling Project

6. Please type a paragraph explaining why you chose a particular container – citing your math facts. Include a summary table. (see instructions above)

Summary Page

 Write a short paragraph describing the customer base at your coffee shop and more importantly their coffee drinking habits. (Are they retirees, students, commuters? Are they lingering in the shop and getting frequent refills or taking it to go? The way in which they drink their coffee should inform your choice for a container.)

 Create a table summarizing the results of your calculations. For each container include the time it takes for the coffee to reach a drinkable temperature and how long the coffee remains in the drinkable range.

 Based on your calculations choose the model which will be best suited for your restaurant. Write a short paragraph explaining in detail why you believe the model you chose is the best model for your restaurant keeping in mind your customer base.

1)Calculate the molarity of each of the following solutions.

0.30 mol of LiNO3 in 6.32 L of solution

Express your answer using two significant figures.

2)

What is the net ionic equation of the reaction of MgSO4 with Ba(NO3)2?

Express you answer as a chemical equation including phases.

3)

Part A

Enter the complete ionic equation to show the reaction of aqueous lead(II) nitrate with aqueous potassium sulfate to form solid lead(II) sulfate and aqueous potassium nitrate.

Express your answer as a chemical equation. Identify all of the phases in your answer.

Enter the net ionic equation to show the reaction of aqueous lead(II) nitrate with aqueous potassium sulfate to form solid lead(II) sulfate and aqueous potassium nitrate.

Express your answer as a chemical equation. Identify all of the phases in your answer.

4)

Part A

Write balanced molecular equation for the reaction between nitric acid and calcium hydroxide.

Express your answer as a chemical equation. Identify all of the phases in your answer.

Part B

Write net ionic equation for the reaction between nitric acid and calcium hydroxide.

Express your answer as a chemical equation. Identify all of the phases in your answer.

After a certain H atom emits a 3740 nm photon, the energy of its electron is -8.716 x 10-20 J. What was the electron's energy before photon emission, and what level did it occupy?

If we have a mixture of sodium carbonate and sodium hydroxide, what procedure allows us to tell that they are both present?

Based on your results which measurement do you think will be more accurate and which do you think is more precise. Explain why.

Hydrogen fuel has been used in fuel cells or internal combustion engines. Determine the heat of combustion, energy capacity, and carbon footprint of the fuel.

ΔHf H2O(l) = -285.8 kJ/mol

A 50.0-mL volume of 0.15 M HBr is titrated with 0.25 M KOH. Calculate the pH after the addition of 13.0 mL of KOH. Express your answer numerically.

A 75.0-mL volume of 0.200 M NH3 (Kb=1.8×10−5) is titrated with 0.500 M HNO3. Calculate the pH after the addition of 15.0 mL of HNO3.

Express your answer numerically.

A 52.0-mL volume of 0.35 M CH3COOH (Ka=1.8×10−5) is titrated with 0.40 M NaOH. Calculate the pH after the addition of 33.0 mL of NaOH.

Express your answer numerically

Balance this reaction, show all steps? (Answer given)

AsO3 (-3) + MnO4 (-1) ----> AsO4 (-3) + Mn (2+)

Answer:

5AsO3 + 2MnO4 + 6H+ ---> 5AsO4 + 2Mn + 3H2O

Please show the steps in between like the half reactions and balancing them. Thanks

Write balanced net ionic equations for the following reactions in basic solution.

A. S2O32−(aq)+I2(aq)→S4O62−(aq)+I−(aq)

Express your answer as a chemical equation. Identify all of the phases in your answer.

Part B Mn2+(aq)+H2O2(aq)→MnO2(s)+H2O(l)

Part C Zn(s)+NO3−(aq)→NH3(aq)+Zn(OH)42−(aq)

Part D Bi(OH)3(s)+Sn(OH)3−(aq)→Bi(s)+Sn(OH)62−(aq)

Given the equation: Al₂C₆ + H₂O --> Al(OH)_{3 +} CH₄(g)

a) If 34.5 grams of Al₂C₆ is mixed with 72.0 grams of water, what mass of Al₂C₆ is formed?

b) If 34.5 grams of Al₂C₆ is mixed with 72.0 grams of water, what mass of Al(OH)₃ is formed?

c) If 34.5 grams of Al₂C₆ is mixed with 72.0 grams of water, what volume of CH₄ is formed at STP?

The reaction of glucose, C6H12O6, to carbon dioxide and water is a common reaction in the body. C6H12O6 (s) + _6__ O2 (g) → __6__ CO2 (g) + __6__ H2O (g)

If you eat 15.0 g of glucose from some candy you eat, how many grams of carbon dioxide will you produce?

If the density of water at body temperature (37 ⁰C) is 0.9933 g/mL, how many mL of water is produced from this reaction?