Concept explainers
(a)
Interpretation:
The following operation (a)
Concept introduction:
An operation is a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and it includes addition, subtraction, multiplication, and division operations deals with the one value and trigonometric functions.
Answer to Problem 6E
The solution for the following operation (a)
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. The binary operations deal with two values and it includes addition, subtraction, multiplication, and division operations deals with the one value and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation (a)
(b)
Interpretation:
The following operation (b)
Concept introduction:
An operation is a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and it includes addition, subtraction, multiplication, and division operations deals with the one value and trigonometric functions.
Answer to Problem 6E
The solution for the following operation (b)
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. The binary operations deal with two values and it includes addition, subtraction, multiplication, and division operations deals with the one value and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation (b)
(c)
Interpretation:
The following operation (c)
Concept introduction:
An operation is a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. Moreover, binary operations deal with two values and it includes addition, subtraction, multiplication, and division operations deals with the one value and trigonometric functions.
Answer to Problem 6E
The solution for the following operation (c)
Explanation of Solution
Principally, operation can be defined as a calculation from zero or more values (operands) of input to a value of output. The most widely analyzed operations are binary and unary operations. The binary operations deal with two values and it includes addition, subtraction, multiplication, and division operations deals with the one value and trigonometric functions.
Different types of operations are;
Multiplications: It deals with multiplying the variables raised to a power involves adding their exponents.
xa times xb = x a + b
Division: It deals with dividing the variables raised to a power involves subtracting their exponents.
xa divided by xb = x a - b
Exponentiation: It deals with exponentiation of variables raised to a power involves multiplying the exponents.
xa raised to the b power = x a b
Based on the operation methods, the given operation can be solved as follows;
On rearranging the values, we get
Since, we know that
Thus, the solution to the following operation (c)
Want to see more full solutions like this?
Chapter 3 Solutions
Introductory Chemistry: An Active Learning Approach
- 1-86 The specific heats of some elements at 25oC are as follows: aluminum = 0.215 cal/g · oC; carbon (graphite) = 0.170 caI/g oC; iron = 0.107 cal/g mercury = 0.033 1 caI/g oC. (a) Which element would require the smallest amount of heat to raise the temperature of 100 g of the element by 10oC? (b) If the same amount of heat needed to raise the temperature of 1 g of aluminum by 25oC were applied to 1 g of mercury, by how many degrees would its temperature be raised? (c) If a certain amount of heat is used to raise the temperature of 1.6 g of iron by 10oC, the temperature of 1 g of which element would also be raised by 10oC, using the same amount of heat?arrow_forward1-78 The kinetic energy possessed by an object with a mass of 1 g moving with a velocity of 1 cm/s is called 1 erg. What is the kinetic energy, in ergs, of an athlete with a mass of 127 lb running at a velocity of 14.7 mi/h?arrow_forward1-87 Water that contains deuterium rather than ordinary hydrogen (see Section 2-4D) is called heavy water. The specific heat of heavy water at 25oC is 4.2 17 J/g oC. Which requires more energy to raise the temperature of 10.0 g by 10oC, water or heavy water?arrow_forward
- 1-67 If 168 g of an unknown liquid requires 2750 cal of heat to raise its temperature from 26oC to 74oC, what is the specific heat of the liquid?arrow_forwardWhat is the difference between a homogeneous and a het-erogeneous mixture?arrow_forwardPerform each of the following operations, using your calculator where possible:(a) Write the number 0.0054 in standard exponential notation. (b) (5.0 x 10-2) + (4.7 x 10-3) (c) (5.98 x 1012) (2.77 x 10-5) (d) 4√1.75 x 10-12arrow_forward
- To identify a liquid substance, a student determined itsdensity. Using a graduated cylinder, she measured out a 45-mLsample of the substance. She then measured the mass of thesample, finding that it weighed 38.5 g. She knew that the substancehad to be either isopropyl alcohol 1density 0.785 g>mL2or toluene 1density 0.866 g>mL2. What are the calculated densityand the probable identity of the substance?arrow_forwardIndicate for the examples below if the change is physical (P) or chemical (C) 1. milk turns sour 2. lightbulb generates light 3. leaves change color in the fall 4. sunlight yellows white paintarrow_forward2 ᴀᴄᴛɪᴠɪᴛʏ ₃: ʀᴇᴀᴄᴛɪᴏɴꜱ ᴏʀ ᴛᴇᴄʜɴɪQᴜᴇꜱ ɪɴ ʏɪᴇʟᴅɪɴɢ ᴏᴄ!ᴅɪʀᴇᴄᴛɪᴏɴꜱ: ɪᴅᴇɴᴛɪꜰʏ ᴛʜᴇ ʀᴇᴀᴄᴛɪᴏɴ ᴏʀ ᴘʀᴏᴄᴇꜱꜱ ʙᴇɪɴɢ ᴅᴇꜱᴄʀɪʙᴇᴅ. _________________ 1. ɪɴ ʟᴀʙᴏʀᴀᴛᴏʀʏ, ɪᴛ ɪꜱ ᴜꜱᴜᴀʟʟʏ ᴄᴀʀʀɪᴇᴅ ᴏᴜᴛ ᴡɪᴛʜ ᴀᴄᴇᴛʏʟ ᴀɴʜʏᴅʀɪᴅᴇ._________________ 2. ɪᴛ ɪꜱ ʀᴇᴀᴄᴛɪᴏɴ ᴛʜᴀᴛ ɪꜱ ᴜꜱᴇᴅ ᴛᴏ ᴏʙᴛᴀɪɴ ᴇꜱᴛᴇʀꜱ ʙʏ ᴛʜᴇ ʜʏᴅʀᴏxʏʟ ɢʀᴏᴜᴘᴏꜰ ᴛʜᴇ ᴄᴀʀʙᴏxʏʟɪᴄ ᴀᴄɪᴅ ᴀᴄᴛꜱ ᴀꜱ ᴀ ʟᴇᴀᴠɪɴɢ ɢʀᴏᴜᴘ ᴀɴᴅ ꜰᴏʀᴍꜱ ᴛʜᴇᴡᴀᴛᴇʀ ᴍᴏʟᴇᴄᴜʟᴇ ɪɴ ᴛʜᴇ ꜰɪɴᴀʟ ᴘʀᴏᴅᴜᴄᴛ. ɪᴛ ɪꜱ ʀᴇᴘʟᴀᴄᴇᴅ ʙʏ ᴛʜᴇ -ᴏʀɢʀᴏᴜᴘ ꜰʀᴏᴍ ᴛʜᴇ ᴀʟᴄᴏʜᴏʟ._________________ 3. ɪᴛ ɪꜱ ᴀ ᴍᴇᴛᴀʙᴏʟɪᴄ ᴘʀᴏᴄᴇꜱꜱ ɪɴ ᴡʜɪᴄʜ ᴀɴ ᴏʀɢᴀɴɪꜱᴍ ᴄᴏɴᴠᴇʀᴛꜱ ᴀᴄᴀʀʙᴏʜʏᴅʀᴀᴛᴇ, ꜱᴜᴄʜ ᴀꜱ ꜱᴛᴀʀᴄʜ ᴏʀ ᴀ ꜱᴜɢᴀʀ, ɪɴᴛᴏ ᴀɴ ᴀʟᴄᴏʜᴏʟ ᴏʀᴀɴ ᴀᴄɪᴅ. _________________ 4. ᴛʜɪꜱ ʀᴇᴀᴄᴛɪᴏɴ ɪꜱ ᴅᴏɴᴇ ᴛʜʀᴏᴜɢʜ ʀᴇᴍᴏᴠᴀʟ ᴏꜰ ᴡᴀᴛᴇʀ ᴀɴᴅ ᴍᴀʏ ʏɪᴇʟᴅ ᴀɴ ᴀʟᴋᴇɴᴇ ᴀɴᴅ ᴀ ᴍᴏʟᴇᴄᴜʟᴇ ᴏꜰ ᴡᴀᴛᴇʀ. _________________ 5. ɪᴛ ɪꜱ ᴀ ᴘʀᴏᴄᴇꜱꜱ ʙʏ ᴡʜɪᴄʜ ᴄᴏᴍᴘᴏɴᴇɴᴛꜱ ɪɴ ᴀ ᴄʜᴇᴍɪᴄᴀʟ ᴍɪxᴛᴜʀᴇ ᴀʀᴇꜱᴇᴘᴀʀᴀᴛᴇᴅ ɪɴᴛᴏ ᴅɪꜰꜰᴇʀᴇɴᴛ ᴘᴀʀᴛꜱ (ᴄᴀʟʟᴇᴅ ꜰʀᴀᴄᴛɪᴏɴꜱ) ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏᴛʜᴇɪʀ ᴅɪꜰꜰᴇʀᴇɴᴛ ʙᴏɪʟɪɴɢ ᴘᴏɪɴᴛꜱ.arrow_forward
- Introductory Chemistry: An Active Learning Approa...ChemistryISBN:9781305079250Author:Mark S. Cracolice, Ed PetersPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningIntroduction to General, Organic and BiochemistryChemistryISBN:9781285869759Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar TorresPublisher:Cengage Learning