Download Assignment 01 ANSWERS Math Review: Algebra, Significant

Assignment 01 ANSWERS
Math Review: Algebra, Significant Figures, Scientific Notation, Exponential Math
(Items 1-4) The formula for the ideal gas law is PV = nRT where P= pressure in atmospheres (atm),
V= volume in liters, n= moles, R= ideal gas constant 0.0821 L*atm/moles*K, T= temperature in
Kelvin (K).
1. Solve for n
2. Solve for P
PV = nRT
PV = nRT
n = PV
RT
P = nRT
3. Solve for V
V
4. Solve for T
PV = nRT
PV = nRT
T = PV
V = nRT
P
nR
5. The formula for calculation of the heat (H in calories) required to raise a mass of a substance from one
temperature to another is q = Cm (T2 – T1) where C = specific heat in cal/g ˚C, m= mass in g, T1 = first
temperature in ˚C and T2 = second temperature in ˚C. Solve for T2
q = Cm(T2 – T1) =
q = CmT2 - CmT1
q + CmT1 = CmT2
q . + CmT1 = CmT2
Cm
Cm
Cm
q . + T1 = T2
Cm
6. Suppose you have 36 black (B) and white (W) balls and the number of black balls is three greater than twice
the number of white balls. How many of each color of balls do you have? B = ___25___________;
W = ___11______
Statement one translates to this equation:
B + W = 36
Statement two translates to this equation: B = 2W +3
Substituting the second equation into the first:
2W + 3 + W = 36
3W = 36 - 3 = 33
W = 11; B = 36 – 11 = 25
INSTRUCTIONS (Items 7-12): Place the number of significant digits of each number or answer to the
problem in the spaces provided.
7. 23.00 ___4____
8. 0.0033 ____2_____
9. 303 ____3_____
10. 12345 _____5______
11. 15,000 ___2_____
12. 4.25 + 1286 ____4____
INSTRUCTIONS (Items 7-11): Write in the space provided the number in scientific notation:
7. 8725
8.725 X 103
8. 602,000,000,000,000,000,000,000 6.02 x 1023
9 0.0497 4.97 X 10-2
11. Six one thousandth of an inch to nearest ten
thousandth of inch
6.0 x 10-3 inch
10. 0.0821 8.21 x 10-2
12. Twelve one thousandth of an inch to the nearest
thousandth of an inch. __1.2 x 10-2 inch
INSTRUCTIONS (12-14) Write the following numbers in decimal notation:
13. 2.59 x 104 25900
14. 3.7 x 10-2 0.037
14. 3.820 x 10-3 0.003820
16. 5.41 x 102 __541__________
INSTRUCTIONS (Items 15-22) Perform the calculations below. Make sure that your answers are
expressed in correct scientific notation and the correct number of significant figures. If you are
uncertain about significant figures, consult the text or website resources available.
17. (6.28 x 10-4)+ (2.832 x 10-3)= 3.46 X 10-3
18. (7.4 x 103 − 4.2 x 103 = 3.2 X 103
19. (7.9 X 104) + (5.2 X 104) = 1.3 X 105
20. (1.6 x 10-4 – 2.168 x 10-3 = -2.0 X 10-3
21. (8.73 X 104) + (6.7 X 103) = 9.4 X 104
22. 8.50 X 103 -7.61 X 102 = 7.74 X 103
22. (3.25 x 107) + (6.4 x 106) = 3.9 X 107
24. 9.120 X 10-2 – 3.12 X 10-3 = 8.81 X 10-2
25. (4.8 x 103) + (6.3 x 103) = 1.1 X 104
26. (5.34 x 107 – 8.3 x 106 = 4.5 X 107