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Usimov [2.4K]
4 years ago
10

What is the power of 10 when 0.00503 is written in scientific notation?

Chemistry
2 answers:
UkoKoshka [18]4 years ago
6 0

Answer:

Scientific notation refers to a technique of writing number that are too large or too small in a decimal form, that will be convenient for use in calculations. It is the standard way of writing numbers that are either too small or too big, thus, it is also called standard form. When using scientific notation, all numbers are written in the form: Z * 10^a, where the exponent a is an integer and coefficient Z is a real number. For the question given above, the standard form of the number is 5.03 * 10^ -3. The exponent -3 refers to the three zeros that appear at the beginning of the

Explanation:

jeka944 years ago
3 0

Scientific notation refers to a technique of writing number that are too large or too small in a decimal form, that will be convenient for use in calculations. It is the standard way of writing numbers that are either too small or too big, thus, it is also called standard form. When using scientific notation, all numbers are written in the form: Z * 10^a, where the exponent a is an integer and coefficient Z is a real number. For the question given above, the standard form of the number is 5.03 * 10^ -3. The exponent -3 refers to the three zeros that appear at the beginning of the number.

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Explanation:

E_n=-13.6\times \frac{Z^2}{n^2}ev

where,

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n = number of orbit

Z = atomic number

a) Energy change due to transition from n = 1 to n = ∞ ,hydrogen atom .

Z = 1

Energy of n = 1 in an hydrogen like atom:

E_1=-13.6\times \frac{1^2}{1^2}eV=-13.6 eV

Energy of n = ∞ in an hydrogen like atom:

E_{\infty}=-13.6\times \frac{1^2}{(\infty)^2}eV=0

Let energy change be E for 1 atom.

E=E_{\infty}-E_1=0-(-13.6  eV)=13.6 eV

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Energy for 1 mole = E'

E'=6.022\times 10^{-23} mol^{-1}\times 13.6 eV

1 eV=1.60218\times 10^{-22} kJ

E'=6.022\times 10^{23}\times 13.6 \times 1.60218\times 10^{-22} kJ/mol

E'=1,312.17 kJ/mol

The energy  required to remove the electron in the ground state is 1,312.17 kJ/mol.

b) Energy change due to transition from n = 1 to n = ∞ ,B^{4+} atom .

Z = 5

Energy of n = 1 in an hydrogen like atom:

E_1=-13.6\times \frac{5^2}{1^2}eV=-340 eV

Energy of n = ∞ in an hydrogen like atom:

E_{\infty}=-13.6\times \frac{5^2}{(\infty)^2}eV=0

Let energy change be E.

E=E_{\infty}-E_1=0-(-340eV)=340 eV

1 mole = 6.022\times 10^{-23}

Energy for 1 mole = E'

E'=6.022\times 10^{-23} mol^{-1}\times 340eV

1 eV=1.60218\times 10^{-22} kJ

E'=6.022\times 10^{23}\times 340\times 1.60218\times 10^{-22} kJ/mol

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The energy  required to remove the electron in the ground state is 32,804.31 kJ/mol.

c) Energy change due to transition from n = 1 to n = ∞ ,Li^{2+}atom .

Z = 3

Energy of n = 1 in an hydrogen like atom:

E_1=-13.6\times \frac{3^2}{1^2}eV=-122.4 eV

Energy of n = ∞ in an hydrogen like atom:

E_{\infty}=-13.6\times \frac{3^2}{(\infty)^2}eV=0

Let energy change be E.

E=E_{\infty}-E_1=0-(-122.4 eV)=122.4 eV

1 mole = 6.022\times 10^{-23}

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1 eV=1.60218\times 10^{-22} kJ

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E_1=-13.6\times \frac{25^2}{1^2}eV=-8,500 eV

Energy of n = ∞ in an hydrogen like atom:

E_{\infty}=-13.6\times \frac{25^2}{(\infty)^2}eV=0

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E=E_{\infty}-E_1=0-(-8,500 eV)=8,500 eV

1 mole = 6.022\times 10^{-23}

Energy for 1 mole = E'

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1 eV=1.60218\times 10^{-22} kJ

E'=6.022\times 10^{23}\times 8,500 \times 1.60218\times 10^{-22} kJ/mol

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