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kow [346]
1 year ago
6

What is the molar mass of a gas if a flask with a volume of 3. 16 l contains 9. 33 grams of the gas at 32. 0°c and 1. 00 atm?

Chemistry
1 answer:
Serhud [2]1 year ago
7 0

The molar mass of a gas if a flask with a volume of 3. 16 L contains 9. 33 grams of the gas at 32. 0°C and 1. 00 atm is  1.17g/mol

Calculation ,

In this question we have to fist find the number of moles of gas by using ideal gas equation and from the help of number of moles we can determine molar mass.

According to ideal gas equation which is also known as ideal law ,

PV = nRT                ...( i )

where P is the pressure of the gas = 1 atm

V is the volume of the gas in the flask with volume =  3. 16 L

R is the universal gas constant = 0.082 atm L/K mol

T is the temperature = 32. 0°C = 32 + 273 = 305 K

n is the number of moles = ?

Putting the value of Pressure P , volume V , temperature T , number of moles n and universal gas constant R in the equation (i) we get ,

1 atm ×3. 16 L = n× 0.082 atm L/K mol ×305 K

n = 1 atm ×3. 16 L / 0.082 atm L/K mol × 305 K = 0.126 mole

number of mole of a gas  = 0.126 mole = given mass/ molar mass

molar mass  = number of moles × Given mass =  0.126 × 9. 33 = 1.17g/mol

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Answer:

                     1. 10.66 moles of Al

                     2.  2.5 moles of Al₂O₃

                     3. 143.87 g of SO₂

Explanation:

                    The balance chemical equation is as follow,

                                      4 Al + 3 O₂ → 2 Al₂O₃

<h3>1.</h3>

According to balance chemical equation,

                       3 moles of O₂ required  =  4 moles of Al

So,

                     8 moles of O₂ will require  =  X moles of Al

Solving for X,

                      X =  8 mol × 4 mol / 3 mol

                      X =  10.66 moles of Al

<h3>2.</h3>

According to balance chemical equation,

                       4 moles of Al produced  =  2 moles of Al₂O₃

So,

                     5 moles of Al will produce  =  X moles of Al₂O₃

Solving for X,

                      X =  5 mol × 2 mol / 4 mol

                      X =  2.5 moles of Al₂O₃

<h3>3.</h3>

The balance chemical equation for the oxidation of carbon disulfide is as follow;

                                CS₂ + 3 O₂ → CO₂ + 2 SO₂

Step 1: <u>Calculate Moles of CS₂ as;</u>

                  Moles  =  Mass / M.Mass

                  Moles  =  85.5 g / 76.14 g/mol

                  Moles  =  1.12 moles of CS₂

Step 2: <u>Find out moles of SO₂ as;</u>

According to balance chemical equation,

                       1 mole of CS₂ produced  =  2 moles of SO₂

So,

                     1.12 moles of CS₂ will produce  =  X moles of SO₂

Solving for X,

                      X =  1.12 mol × 2 mol / 1 mol

                      X =  2.24 moles of SO₂

Step 3: <u>Calculate Mass of SO₂ as;</u>

                  Mass  =  Moles × M.Mass

                  Mass  =  2.24 mol × 64.06 g/mol

                  Mass  =  143.87 g of SO₂

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