When a 0.432g sample of a mixture of volatile hydrocarbons is burned in a bomb calorimeter with heat capacity of 3046 J/C, the temperature rises by 7.82C. How much energy (in KJ) is released during combustion.
**I got that answered**
3046x7.82C=23819.72J
the answer is negative and needs to converted to Kilo Joules.
So the answer is 23.82 KJ
I need help with the second part of the question which states.
How much energy (in kJ) would be released by the combustion of 6.50g of the same mixture??
23.82 kJ x (6.50g/0.432g) = ?
The above makes sense to me. Some, however, like to do these with ratio/proportion. That way is
(23.82 kJ/0.432g) = (x kJ/6.50g)
Solving for x we obtain
x kJ = 23.82 kJ x 6.50/0.432
To find the energy released by the combustion of 6.50g of the same mixture, we can use the concept of proportionality.
First, let's set up a proportion using the known values from the first part of the question:
Proportion 1: 0.432g is to 23.82kJ as 6.5g is to x
Using cross-multiplication, we can solve for x:
0.432g / 23.82kJ = 6.5g / x
(0.432g)(x) = (6.5g)(23.82kJ)
0.432x = 149.43kJ
Dividing both sides of the equation by 0.432:
x = 149.43kJ / 0.432
x ≈ 346.01 kJ
Therefore, approximately 346.01 kJ of energy would be released by the combustion of 6.50g of the same mixture.
To find the energy released by the combustion of 6.50g of the same mixture, you can use the concept of proportionality.
First, calculate the energy released for the given mass of 0.432g using the heat capacity and temperature change you provided:
Energy released for 0.432g = 23.82 kJ
Next, set up a proportion using the masses of the mixture:
Energy released for 0.432g / 0.432g = Energy released for 6.50g / 6.50g
To solve for the energy released for 6.50g, multiply both sides of the equation by 6.50g:
Energy released for 6.50g = (23.82 kJ / 0.432g) * 6.50g
Now, you can calculate the energy released by the combustion of 6.50g of the same mixture:
Energy released for 6.50g = (23.82 kJ / 0.432g) * 6.50g
Simplifying the equation, you'll find the answer by multiplying 23.82 kJ by 6.50:
Energy released for 6.50g ≈ (23.82 kJ / 0.432g) * 6.50g = 357.89 kJ
Therefore, the energy released by the combustion of 6.50g of the same mixture is approximately 357.89 kJ.