What is the result of multiplying (2.5 × 1010) × (3.5 × 10-7)? Use the correct number of significant digits.

Answers

Answer 1

Answer:

Answer : The answer will be $8.6* 10^3$

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The product of $(2.5* 10^(10))* (3.5* 10^(-7))$

$\Rightarrow 8.6* 10^3$

In the given expression, 2.5 has 2 significant figures and 3.5 has 2 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

Thus, the answer will be $8.6* 10^3$

Answer 2

Answer:

the result of multiplying (2.5 × 10¹⁰) and (3.5 × 10⁻⁷) is 8.8.10³ (cause the result must have 2 significant number)

Further Explanation

Significant numbers are numbers obtained from the measurement results of exact numbers and the last number estimated

In scientific notation, all numbers are displayed before the big order is called significant numbers

the scientific notation can be described as:

a, ... x 10ⁿ

a, ... called an important number

10ⁿ is called a big order

Rules for significant numbers in general:

1. all non-zero numbers are significant numbers

2. a zero which is located between two non-zero numbers including a significant number

3. all zeros are located in the final row written behind the decimal point include significant number

4. zero decimal point is not significant number

In the question it is known that (2.5 × 10¹⁰) and (3.5 × 10⁻⁷) both have a significant number in a row 2.5 and 3.5

so that it meets the rule of significant numbers which is multiplication of 2 significant number produces numbers that have the fewest significant numbers, So the multiplication of the two will produce 2 significant number

So that we do the significant number then proceed a big order

1. Multiplication of significant number2.5 x 3.5 = 8.75

2. a big order multiplication 10¹⁰ x 10⁻⁷ = 10¹⁰⁻⁷ = 10³

So the result = 8.75.10³

Because the result must have 2 significant number , the result is 8.8.10³ (8.75 we round up)

Learn more

significant figures brainly.com/question/11151926

significant figures in the following number: 5.67 x 106 brainly.com/question/7539478

the number of significant figures is 0.025 brainly.com/question/10343704

0.080 significant figures brainly.com/question/1999241

the fewest number of significant figures brainly.com/question/11464470

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1. An unknown compound was found to have a percent composition of: 47.0%potassium, 14.5% carbon, and 38.5 % oxygen. What is its empirical formula? Ifthe true molar mass of the compound is 166.22 g/mol, what is its molecularformula?
List 2 salts that would NOT be neutral and show/explain why.

How many nitrogen atoms are present in calcium nitrate, Ca(NO3)2? A) 6. B) 3. C) 2. D) 1

Answers

we are given the compound calcium nitrate, Ca(NO3)2 and is asked for the number of atoms of nitrogen present. In this compound given, there are 1 atom of calcium, 2 atoms of nitrogen, and 6 atoms in total of oxygen. Hence the answer to this problemis C. 2

Ca(NO3)2

Ca = 1 atom

O = 6 atoms

N = 2 atoms

Answer C

What type of acid is sulfuric acid?a- Monoprotic
b- Diprotic
c- Triprotic
d- None of the above

Answers

The answer is Diprotic!

What is the average kinetic energy of 1 mole of a gas that is at 100 degrees Celsius?

Answers

To simplify our solutions, we have to assume that the gas we are referring is ideal. The kinetic energy of of ideal gas is a funtion of moles and temperature only.
KE = (3/2)(nRT)
= (3/2)(1mol)(8.314J/molK)(100+273.15) = 4204.6J

Are all elements abbreviated with one or two letters? If not, name some that aren't.

Answers

Answer:

Some elements are abbreviated with more than two letters such as the Ununtrium (Uut), Ununpentium (Uup), Ununseptum (Uus) and Ununoctio (Uuo).

Explanation:

Some elements have intuitive symbology, such as Chlorine (Cl), among others, which are represented by the first letters that make up the name. However, there are others who receive symbols that do not remember the name of the element, such as Lead (Pb). Regardless of the similarity between the names and the symbol of the elements, most of them have the symbol composed of one or two letters, except for the elements Ununtrium (Uut), Ununpentium (Uup), Ununseptum (Uus) and Ununoctio (Uuo).

Some elements that are not abbreviated with one or two letters on the periodic table are Ununoctium (Uuo) and Ununtrium (Uut).

Which of the following ions has the smallest radius? (1) F– (3) K (2) Cl– (4) Ca2

Answers

(1) is the correct answer.

(2) Cl- is larger than F- due to having more electron shells
(3) Is not an ion
(4) Is not an ion either.

The percent composition by mass of certain compound is 35.5 percent carbon, 4.8 percent hydrogen, 37.9 percent oxygen, 8.3 percent nitrogen, and 13.5 percent sodium. What is the molecular formula if the molar mass is roughly 170 grams per mole

Answers

Answer:

$C_(5)H_(8)NNaO_(4)$

Explanation:

$Moles =\frac {Given\ mass}{Molar\ mass}$

% of C = 35.5

Molar mass of C = 12.0107 g/mol

% moles of C = $(35.5)/(12.0107)$ = 2.95569

% of H = 4.8

Molar mass of H = 1.00784 g/mol

% moles of H = $(4.8)/(1.00784)$ = 4.76266

% of N = 8.3

Molar mass of N = 14.0067 g/mol

% moles of N = $(8.3)/(14.0067)$ = 0.59257

% of Na = 13.5

Molar mass of Na = 22.989769 g/mol

% moles of N = $(13.5)/(22.989769)$ = 0.58721

% of O = 37.9

Molar mass of O = 15.999 g/mol

% moles of O = $(37.9)/(15.999)$ = 2.36889

Taking the simplest ratio for C, H, O, N, Na and O as:

2.95569 : 4.76266 : 0.59257 : 0.58721 : 2.36889

= 5 : 8 : 1 : 1 : 4

The empirical formula is = $C_(5)H_(8)NNaO_(4)$

Molecular formulas is the actual number of atoms of each element in the compound while empirical formulas is the simplest or reduced ratio of the elements in the compound.

Thus,

Molecular mass = n × Empirical mass

Where, n is any positive number from 1, 2, 3...

Mass from the Empirical formula = 12*5 + 1*8 + 14 + 23 + 16*4 = 169 g/mol

Molar mass = 170 g/mol

So,

Molecular mass = n × Empirical mass

170 = n × 169

⇒ n ≅ 1

The molecular formula = $C_(5)H_(8)NNaO_(4)$

Answer : The molecular formula of a compound is, $C_5H_8O_4NNa$

Solution :

If percentage are given then we are taking total mass is 100 grams.

So, the mass of each element is equal to the percentage given.

Mass of C = 35.5 g

Mass of H = 4.8 g

Mass of O = 37.9 g

Mass of N = 8.3 g

Mass of Na = 13.5 g

Molar mass of C = 12 g/mole

Molar mass of H = 1 g/mole

Molar mass of O = 16 g/mole

Molar mass of N = 14 g/mole

Molar mass of Na = 23 g/mole

Step 1 : convert given masses into moles.

Moles of C = $\frac{\text{ given mass of C}}{\text{ molar mass of C}}= (35.5g)/(12g/mole)=2.96moles$

Moles of H = $\frac{\text{ given mass of H}}{\text{ molar mass of H}}= (4.8g)/(1g/mole)=4.8moles$

Moles of O = $\frac{\text{ given mass of O}}{\text{ molar mass of O}}= (37.9g)/(16g/mole)=2.37moles$

Moles of N = $\frac{\text{ given mass of N}}{\text{ molar mass of N}}= (8.3g)/(14g/mole)=0.593moles$

Moles of Na = $\frac{\text{ given mass of Na}}{\text{ molar mass of Na}}= (13.5g)/(23g/mole)=0.587moles$

Step 2 : For the mole ratio, divide each value of moles by the smallest number of moles calculated.

For C = $(2.96)/(0.587)=5.0\approx 5$

For H = $(4.8)/(0.587)=8.1\approx 8$

For O = $(2.37)/(0.587)=4.0\approx 4$

For N = $(0.593)/(0.587)=1.0\approx 1$

For Na = $(0.587)/(0.587)=1$

The ratio of C : H : O : N : Na = 5 : 8 : 4 : 1 : 1

The mole ratio of the element is represented by subscripts in empirical formula.

The Empirical formula = $C_5H_8O_4N_1Na_1=C_5H_8O_4NNa$

The empirical formula weight = 5(12) + 8(1) + 4(16) + 1(14) + 1(23) = 169 gram/eq

Now we have to calculate the molecular formula of the compound.

Formula used :

$n=\frac{\text{Molecular formula}}{\text{Empirical formula weight}}$

$n=(170)/(169)=1$

Molecular formula = $(C_5H_8O_4NNa)_n=(C_5H_8O_4NNa)_1=C_5H_8O_4NNa$

Therefore, the molecular of the compound is, $C_5H_8O_4NNa$

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