when x gram of carbon is completely burnt in certain amount of oxygen y gram of carbondioxide is form.what mass of Co2 will be produced when 2x gram of carbon is burnt in z gram of oxygen. which law of chemistry will help me to find the answer

To find the mass of CO2 produced when 2x grams of carbon is burnt in z grams of oxygen, we can use the law of definite proportions.

According to this law, when elements combine to form a compound, the elements do so in fixed ratios by mass. This means that for a given amount of carbon burned, the mass of CO2 produced will always be in a specific ratio.

First, let's establish the ratio between the mass of carbon burnt and the mass of CO2 produced. We are given that when x grams of carbon is burnt, y grams of CO2 is produced. This means that the mass ratio of carbon to CO2 is x:y.

Now, we can use this ratio to find the mass of CO2 produced when 2x grams of carbon is burned. Since we have 2x grams of carbon, we can set up a proportion:

(x grams of carbon / y grams of CO2) = (2x grams of carbon / ? grams of CO2)

Using cross multiplication:

x * ? = y * 2x

Simplifying the equation:

? = (y * 2x) / x
? = 2y

Therefore, the mass of CO2 produced when 2x grams of carbon is burned will be 2y grams.

In summary, the law of definite proportions helps us determine the mass of CO2 produced when 2x grams of carbon is burned in z grams of oxygen. The mass will be 2 times the mass of CO2 produced when x grams of carbon is burned in a certain amount of oxygen.

To find the mass of CO2 produced when burning 2x grams of carbon in z grams of oxygen, we can use the Law of Definite Proportions or the Law of Conservation of Mass.

According to the Law of Definite Proportions, a compound always contains the same elements in fixed proportions by mass. In this case, we are considering the combustion of carbon to form carbon dioxide, which always contains one carbon atom and two oxygen atoms.

Let's proceed step-by-step to find the mass of CO2 produced:

Step 1: Determine the molar mass of carbon dioxide (CO2).
The molar mass of carbon is 12.01 g/mol, and the molar mass of oxygen is 16.00 g/mol. Therefore, the molar mass of carbon dioxide (CO2) is:
1 * 12.01 g/mol (carbon) + 2 * 16.00 g/mol (oxygen) = 44.01 g/mol.

Step 2: Calculate the number of moles of carbon in 2x grams of carbon.
The number of moles of carbon is given by the formula:
Number of moles = Mass / Molar mass.
Therefore, the number of moles of carbon is:
2x grams / 12.01 g/mol.

Step 3: Calculate the number of moles of oxygen in z grams of oxygen.
The number of moles of oxygen is given by the formula:
Number of moles = Mass / Molar mass.
Therefore, the number of moles of oxygen is:
z grams / 16.00 g/mol.

Step 4: Using the balanced chemical equation for the combustion of carbon:
C + O2 -> CO2,
we know that one mole of carbon reacts with one mole of oxygen to form one mole of carbon dioxide.

Step 5: Determine the limiting reactant.
The limiting reactant is the one that is fully consumed and determines the maximum amount of product that can be formed. To find the limiting reactant, compare the ratios between the number of moles of carbon and oxygen.

Step 6: Calculate the number of moles of CO2 produced.
Using the balanced chemical equation, we know that the number of moles of carbon dioxide produced will be equal to the number of moles of carbon or oxygen (whichever is the limiting reactant).

Step 7: Calculate the mass of CO2 produced.
The mass of CO2 produced is given by the formula:
Mass = Number of moles * Molar mass.

Step 8: Substitute the values obtained in Steps 2, 3, and 7 to find the mass of CO2.

By following these steps, you can find the mass of CO2 produced when 2x grams of carbon are burnt in z grams of oxygen using the Law of Definite Proportions or the Law of Conservation of Mass.