Concept explainers
(a)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(a)
Answer to Problem 2.65EP
Answer for
Explanation of Solution
Given scientific notation is
The coefficient has to be multiplied and the exponents has to be added. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. One of the number that is multiplied has three significant figures while the other has four significant figures. Hence, the answer is expressed with three significant figures as
(b)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(b)
Answer to Problem 2.65EP
Answer for
Explanation of Solution
Given scientific notation is
The coefficient has to be multiplied and the exponents has to be added. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. One of the number that is multiplied has two significant figures while the other two has three significant figures. Hence, the answer is expressed with two significant figures as
(c)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(c)
Answer to Problem 2.65EP
Answer for
Explanation of Solution
Given scientific notation is
The coefficient has to be divided and the exponents has to be subtracted. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. One of the number that is multiplied has two significant figures while the other has three significant figures. Hence, the answer is expressed with two significant figures as
(d)
Interpretation:
Answer for
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
For multiplication of the scientific notation, the coefficients are multiplied as such and the exponents are added. For division of the scientific notation, the coefficients are divided as such and the exponents are subtracted.
(d)
Answer to Problem 2.65EP
Answer for
Explanation of Solution
Given scientific notation is
For multiplication, the coefficient has to be multiplied and the exponent has to be added and for division the coefficient has to be divided and the exponents has to be subtracted. This can be done as shown below,
This value has to be expressed to the correct number of significant figures. All the scientific notation has two significant figures. Hence, the answer is expressed with two significant figures as
Want to see more full solutions like this?
Chapter 2 Solutions
EBK GENERAL, ORGANIC, AND BIOLOGICAL CH
- An analysis of city drinking water for total hardness was done by two students in the laboratory and produced the following results (in ppm CaCO3): Student A: 228.3, 226.4, 226.9, 227.1, and 228.6. Student B: 229.5, 226.1, 230.7, 223.8, and 227.5 1. Calculate the following for each data set: (proper significant figures, neglect units) a) Mean for student A b) Mean for student B c) Relative standard deviation for student A d) Relative standard deviation for student B e) Confidence Level for Student A at 95% (write as a range for example: 200-300) f) Confidence Level for Student B at 95% (write as a range for example: 200-300) g) Which of the student have a more precise result? (write STUDENT A or STUDENT B)arrow_forwardThe iodine contained in every one mL of the 0.010 M iodine solution in the buret will react with 1.76 mg of vitamin C. (In other words, every mL of iodine solution needed for the titration indicates the presence of 1.76 mg of vitamin C in the juice sample.) If your titration used 7.11 mL of iodine solution, what mass of vitamin C is in your fruit juice sample (in milligrams, mg)? Include the unit and two decimal places in your answer.arrow_forwardWhich of the following setups would give the formula mass of Ca(PO3)2 in amu? 40.08 amu + 30.97 amu + 3(16.00 amu) 40.08 amu + 2(30.97 amu + 3(16.00 amu)) 40.08 amu + 30.97 amu + 6(16.00 amu) 40.08 amu + 2(30.97 amu) + 3(16.00 amu)arrow_forward
- The empirical formula of the sugar glucose is C6H12O6. (a) How many moles are there in 270 g of glucose? (b) Calculate the molarity of a solution of 324 g of glucose dissolved in 2.0 l of water.arrow_forwardWhat mass of gallium oxide, Ga2O3, can be prepared from 29.0 g of gallium metal? The equation for the reaction is 4Ga + 3O2 ⟶ 2Ga2 O3.arrow_forwardCalculate the 2 possible values of x in this equation: x2 – 16x + 48 = 0, either by using the quadratic equation developed by Abu Abd-Allah ibn Musa al-Kwarizmi, or by factoring the integer values of x. A. x = 4 or 12 x = 1 or 48 x = 16 or 3 x = 24 or 2 x = 8 or 6arrow_forward
- Write the nuclear equation for the positron decay of C-11.arrow_forwardFor the following reaction 3 experiments have been run and the data collected is in the following table @ 35 degrees Celsius 2 NO2F(g) ---> 2 NO2(g) + F2(g) Experiment [NO2F], M Rates, M/s 1 0.263 0.168 2 0.349 0.223 3 0.421 0.269 a) How long will it take for a 65% NO2F solution to become a 31% NO2F solution @35 degrees Celsius?(Hint: Use mass ratios and assume ~1g/ml for density of solutions to get you started) b) It has been determined that at 75 degrees Celsius the rate constant is 1.046 s-1. Calculate the activation energy for the decomposition of NO2F. [Hint: ]ln?1?2=?a?(1?2―1?1) c) What is the half-life of a 35% solution of NO2F @ 35 degrees Celsius?arrow_forwardTwenty observations on etch uniformity on silicon wafers are taken during a qualification experiment for a plasma etcher. The data are as follows: Etch Uniformity 5.34 6.65 4.76 5.98 7.25 6.00 7.55 5.54 5.62 6.21 5.97 7.35 5.44 4.39 4.98 5.25 6.35 4.61 6.00 5.32 (a) Discuss the normality assumption and its role in this problem. (b) Check normality by constructing a normal probability plot. What are your conclusions?arrow_forward