Answer: The value of q for the given reaction is -105.9 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 = 1.90 g
Molar mass of methane = 16 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of methane}=\frac{1.90g}{16g/mol}=0.119mol[/tex]
For the given chemical equation:
[tex]CH_4(g)+2O_2(g)\rightarrow CO_2(g)+2H_2O(l);\Delta H=-890.0kJ[/tex]
To calculate the enthalpy change of the reaction, we use the equation:
[tex]\Delta H_{rxn}=\frac{q}{n}[/tex]
where,
q = amount of heat released = ?
n = number of moles = 0.119 moles
[tex]\Delta H_{rxn}[/tex] = enthalpy change of the reaction = -890.0 kJ/mol
Putting values in above equation, we get:
[tex]-890kJ/mol=\frac{q}{0.119mol}\\\\q=(-890kJ/mol\times 0.119mol)=-105.91kJ[/tex]
Hence, the value of q for the given reaction is -105.9 kJ