a sample of hydrocarbon of mass 51.2g was analysed and found to contain 12.8 grams of hydrogen. If the formula of hydrocarbon is CxHy. Find the values of x and y

Question

Create a detailed chemistry-themed image. In the foreground, show a pair of gloved hands holding a clear vial containing a translucent liquid representing a hydrocarbon sample. Nearby, display a digital weighing scale showing a reading of 51.2g to represent the sample's mass. On a nearby table, present a smaller glass container with a bubble-like shape containing a gas, symbolizing hydrogen, alongside another scale showing 12.8g. Make sure to represent an abstract formula CxHy using three-dimensional metallic geometric shapes where 'C' and 'H' are represented by cubes and spheres respectively, whereas 'x' and 'y' are left undefined.

a sample of hydrocarbon of mass 51.2g was analysed and found to contain 12.8 grams of hydrogen. If the formula of hydrocarbon is CxHy. Find the values of x and y

Answer 1

To find the values of x and y in the formula CxHy, we need to calculate the number of moles of carbon and hydrogen in the given hydrocarbon sample.

First, let's calculate the number of moles of hydrogen:
Number of moles of hydrogen = mass of hydrogen / molar mass of hydrogen
The molar mass of hydrogen is approximately 1 g/mol.
Number of moles of hydrogen = 12.8 g / 1 g/mol = 12.8 moles

Now, let's calculate the number of moles of carbon:
Number of moles of carbon = total mass of hydrocarbon - mass of hydrogen
Total mass of hydrocarbon = 51.2 g
Number of moles of carbon = 51.2 g - 12.8 g = 38.4 g

Since the molar mass of carbon is approximately 12 g/mol, we can calculate the number of moles of carbon:
Number of moles of carbon = 38.4 g / 12 g/mol = 3.2 moles

Finally, to find the values of x and y in the formula CxHy, we can divide the number of moles of carbon and hydrogen by the smallest value between them, which is 3.2:
x = 3.2 / 3.2 = 1
y = 12.8 / 3.2 = 4

Therefore, the values of x and y in the formula CxHy are x = 1 and y = 4.

Answer 2

To find the values of x and y in the formula CxHy, we need to use the molar masses of carbon and hydrogen along with the given mass of each element.

Step 1: Calculate the number of moles of carbon (C)

The molar mass of carbon (C) is approximately 12.01 g/mol.

Number of moles of carbon = mass of carbon / molar mass of carbon
Number of moles of carbon = 51.2 g / 12.01 g/mol

Step 2: Calculate the number of moles of hydrogen (H)

The molar mass of hydrogen (H) is approximately 1.01 g/mol.

Number of moles of hydrogen = mass of hydrogen / molar mass of hydrogen
Number of moles of hydrogen = 12.8 g / 1.01 g/mol

Step 3: Determine the ratio of moles between carbon and hydrogen

Divide the number of moles of carbon and hydrogen by their respective coefficients (x and y) to find the simplest whole number ratio.

Number of moles of carbon : Number of moles of hydrogen = (51.2 g / 12.01 g/mol) : (12.8 g / 1.01 g/mol)

To simplify the ratio, divide both sides by the smaller value:

Number of moles of carbon : Number of moles of hydrogen ≈ (4.266 mol) : (12.673 mol)

Divide each mole value by the smallest value (4.266 mol) to get whole number ratios:

Number of moles of carbon ≈ 1 mol
Number of moles of hydrogen ≈ 2.977 mol

Step 4: Determine the empirical formula using the ratios obtained

The empirical formula represents the simplest whole number ratio of atoms in a compound. In this case, the ratio obtained suggests that the empirical formula of the hydrocarbon is CH2 (one carbon atom and two hydrogen atoms). Thus, x = 1 and y = 2.

Answer 3

To find the values of x and y in the formula CxHy, we can use the given information about the mass of the hydrocarbon and the mass of hydrogen in it.

Step 1: Calculate the mass of carbon in the hydrocarbon.
The mass of carbon (M_c) can be found by subtracting the mass of hydrogen (M_H) from the total mass of the hydrocarbon (M_total).
M_c = M_total - M_H
M_c = 51.2g - 12.8g
M_c = 38.4g

Step 2: Convert the mass of carbon to moles.
To convert the mass of carbon to moles, we need to know the molar mass of carbon. The molar mass of carbon is approximately 12.01 g/mol.
Number of moles of carbon (n_C) = M_c / molar mass of carbon
n_C = 38.4g / 12.01 g/mol
n_C ≈ 3.199 mol (approximately)

Step 3: Convert the mass of hydrogen to moles.
To convert the mass of hydrogen to moles, we need to know the molar mass of hydrogen. The molar mass of hydrogen is approximately 1.01 g/mol.
Number of moles of hydrogen (n_H) = M_H / molar mass of hydrogen
n_H = 12.8g / 1.01 g/mol
n_H ≈ 12.673 mol (approximately)

Step 4: Divide the number of moles of carbon and hydrogen by the smallest value.
Dividing the number of moles of each element by the smallest value will give us the ratio of carbon to hydrogen atoms in the hydrocarbon.
Divide n_C and n_H by the smallest value (n_C = 3.199 mol):
Ratio of carbon atoms (x) = n_C / n_C (smallest value) ≈ 1
Ratio of hydrogen atoms (y) = n_H / n_C (smallest value) ≈ 3.96

Therefore, the values of x and y in the hydrocarbon formula CxHy are approximately x = 1 and y = 3.96.