When 2.50 g of methane burns in oxygen, 125 kj of heat is produced. what is the enthalpy of combustion per mole of methane under these conditions?

Respuesta :

Answer: The enthalpy of combustion per mole of methane is 801.28 kJ.

Explanation:

To calculate the number of moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Given mass of methane = 2.50 g

Molar mass of methane = 16 g/mol

Putting values in above equation, we get:

[tex]\text{Moles of methane}=\frac{2.50g}{16g/mol}\\\\\text{Moles of methane}=0.156mol[/tex]

We are given:

Enthalpy of combustion for given mass = 125 kJ

Using unitary method, we get:

If 0.156 moles of methane has an enthalpy of combustion as 125 kJ.

So, 1 mole of methane has an enthalpy of combustion = [tex]\frac{125kJ}{0.156mol}\times 1mol=801.28kJ[/tex]

Hence, the enthalpy of combustion per mole of methane is 801.28 kJ.

The enthalpy of combustion per mole of methane = 7.8125 kJ/mole

The chemical formula of methane = [tex]CH_4[/tex]

The mass of methane = 2.5 g

The molar mass of  [tex]CH_4[/tex] = [tex]12 + (1 \times 4)[/tex]

The molar mass of  [tex]CH_4[/tex] =12 + 4

The molar mass of  [tex]CH_4[/tex] = 16 g/mol

Enthapy of combustion = 125 kJ

Enthalpy of combustion per mole = [tex]\frac{Enthalpy}{Mole}[/tex]

Enthalpy of combustion per mole = 125/16

Enthalpy of combustion per mole = 7.8125 kJ/mole

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