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LekaFEV [45]
3 years ago
8

What is the daughter nucleus produced when 188 Hg Hg188 undergoes positron emission? Replace each question mark with the appropr

iate integer or symbol.
Chemistry
1 answer:
Alenkasestr [34]3 years ago
7 0

Answer: The daughter nucleus produced when 188 Hg undergoes positron emission is gold.

Explanation:

Positron emission: It is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. This is also known as -decay. In this the mass number remains same.

General representation of an element is given as: _Z^A\textrm{X}

where,

Z represents Atomic number

A represents Mass number

X represents the symbol of an element

The chemical equation for positron emission is represented as:

_Z^A\textrm{X}\rightarrow _{Z-1}^A\textrm{Y}+_{+1}^0e

_{80}^{188}\textrm{Hg}\rightarrow _{79}^{188}\textrm{Au}+_{+1}^0e

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A 0.04328 g sample of gas occupies 10.0-mL at 294.0 K and 1.10 atm. Upon further analysis, the compound is found to be 25.305% C
stepan [7]

Answer:

<u>The molecular formula of the gas sample = C_2Cl_2 </u>

<u>Lewis structure is shown in the image below.</u>

<u>The geometry around each carbon atom is linear.</u>

Explanation:

Given that:

Temperature = 294.0 K

V = 10.0 mL = 0.01 L ( 1 mL = 0.001 L )

Pressure = 1.10 atm

Using ideal gas equation as:

PV=nRT

where,  

P is the pressure

V is the volume

n is the number of moles

T is the temperature  

R is Gas constant having value = 0.0821 L atm/ K mol  

Applying the equation as:

1.10 atm × 0.01 L = n ×0.0821 L atm/ K mol  × 294.0 K  

⇒n = 0.0004557 mol

Given, mass = 0.04328 g

The formula for the calculation of moles is shown below:

moles = \frac{Mass\ taken}{Molar\ mass}

Thus,

0.0004557\ mole= \frac{0.04328\ g}{Molar\ mass}

<u>Molar mass of the gas sample = 94.9747 g/mol</u>

Given that:-

% of C = 25.305

Molar mass of C = 12.0107 g/mol

% moles of C = 25.305 / 12.0107 = 2.1069

% of Cl = 74.695

Molar mass of Cl = 35.453 g/mol

% moles of Cl = 74.695 / 35.453 = 2.1069

Taking the simplest ratio for C and Cl as:

2.1069 : 2.1069  = 1 : 1

<u>The empirical formula is = CCl</u>

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 + 35.5 = 47.5 g/mol

Molar mass = 94.9747 g/mol

So,  

Molecular mass = n × Empirical mass

94.9747 = n × 47.5

⇒ n = 2

<u>The molecular formula of the gas sample = C_2Cl_2 </u>

Also,

Valence electrons of carbon = 4

Valence electrons of Chlorine = 7  

The total number of the valence electrons  = 4*2 + 7*2 = 22

The Lewis structure is drawn in such a way that the octet of each atom in the molecule is complete. So,  

The Lewis structure is shown in the image below.

According to the theory, the atoms will form a geometry in such a way that there is minimum repulsion and maximum stability.  The carbon atoms are sp hybridized.

<u>So, it is of linear shape.</u>

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