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Vlad1618 [11]
4 years ago
14

If 45.6 grams of water decompose at 301 Kelvin and 1.24 atmospheres, how many liters of oxygen gas can be produced? Show all of

the work used to solve this problem. 2H2O (l) yields 2H2 (g) + O2 (g)
Chemistry
1 answer:
Artyom0805 [142]4 years ago
6 0

This reaction is called the electrolysis of water. The balanced reaction is:

 2H2O = 2H2 + O2

<span>
We are given the amount of water for the electrolysis reaction. This will be the starting point of our calculation.

45.6 grams H2O (1 mol H2O / 18.02 g H2O) (1 mol O2 / 2 mol H2O) = 1.27 mol O2

V = nRT/P = </span><span>1.27 mol O2 (0.08206 atm L / mol K) (301 K) / 1.24 atm
V = 25.20 L O2</span>
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Chloral hydrate (C2H3Cl3O2) is a drug formerly used as a sedative and hypnotic.
Dmitrij [34]

Answer :

(a) The molar mass of C_2H_3Cl_3O_2 is, 165.5 g/mole

(b) The moles of C_2H_3Cl_3O_2 is, 3.02 moles

(c) The mass in grams of 2.0\times 10^{-2} mole chloral hydrate is, 3.31 g

(d) The number of chlorine atoms in 5.0 g chloral hydrate is, 5.4\times 10^{22}

(e) The mass of chloral hydrate will be, 1.55 g

(f) The mass of exactly 500 molecules of chloral hydrate is, 1.99\times 10^{23}

Explanation :

(a) To calculate the molar mass of chloral hydrate.

The formula of chloral hydrate is, C_2H_3Cl_3O_2

Atomic mass of carbon = 12 g/mole

Atomic mass of hydrogen = 1 g/mole

Atomic mass of oxygen = 16 g/mole

Atomic mass of chlorine = 35.5 g/mole

Now we have to determine the molar mass of chloral hydrate.

\text{Molar mass of }C_2H_3Cl_3O_2=2(12g/mole)+3(1g/mole)+3(35.5g/mole)+2(16g/mole)=165.5g/mole[/tex]

The molar mass of C_2H_3Cl_3O_2 is, 165.5 g/mole

(b) Now we have to determine the moles of C_2H_3Cl_3O_2.

\text{Moles of }C_2H_3Cl_3O_2=\frac{\text{Mass of }C_2H_3Cl_3O_2}{\text{Molar mass of }C_2H_3Cl_3O_2}=\frac{500.0g}{165.5g/mole}=3.02moles

The moles of C_2H_3Cl_3O_2 is, 3.02 moles

(c) Now we have to determine the mass in grams of 2.0\times 10^{-2} mole chloral hydrate.

\text{Mass of }C_2H_3Cl_3O_2=\text{Moles of }C_2H_3Cl_3O_2\times \text{Molar mass of }C_2H_3Cl_3O_2

\text{Mass of }C_2H_3Cl_3O_2=(2.0\times 10^{-2}mole)\times (165.5g/mole)=3.31g

The mass in grams of 2.0\times 10^{-2} mole chloral hydrate is, 3.31 g

(d) To calculate the number of chlorine atoms are in 5.0 g chloral hydrate.

First we have to determine the moles of C_2H_3Cl_3O_2.

\text{Moles of }C_2H_3Cl_3O_2=\frac{\text{Mass of }C_2H_3Cl_3O_2}{\text{Molar mass of }C_2H_3Cl_3O_2}=\frac{5g}{165.5g/mole}=0.03moles

Now we have to calculate the number of chlorine atoms in chloral hydrate.

In C_2H_3Cl_3O_2, there are, 2 carbon atoms, 3 hydrogen atoms, 3 chlorine atoms and 2 oxygen atoms.

As, 1 mole of C_2H_3Cl_3O_2 contains 3\times 6.022\times 10^{23} chlorine atoms

So, 0.03 mole of C_2H_3Cl_3O_2 contains 0.03\times 3\times 6.022\times 10^{23}=5.4\times 10^{22} chlorine atoms

The number of chlorine atoms in 5.0 g chloral hydrate is, 5.4\times 10^{22}

(e) To calculate the mass of chloral hydrate would contain 1.0 g Cl.

As, 3\times 35.5g of chlorine present in 165.5 g of C_2H_3Cl_3O_2

So, 1 g of chlorine present in \frac{165.5}{3\times 35.5}=1.55g of C_2H_3Cl_3O_2

The mass of chloral hydrate will be, 1.55 g

(f) To calculate the mass of exactly 500 molecules of chloral hydrate.

As, 6.022\times 10^{23} molecules of chloral hydrate has 165.5 g mass of chloral hydrate

So, 500 molecules of chloral hydrate has \frac{6.022\times 10^{23}}{500}\times 165.5=1.99\times 10^{23} mass of chloral hydrate

The mass of exactly 500 molecules of chloral hydrate is, 1.99\times 10^{23}

3 0
3 years ago
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