The compound B5H9 was once proposed as a rocket fuel because it has a high heat of combustion. In a combustion experiment, a scientist observes that 1.00 g of B5H9 burned in excess oxygen in a calorimeter raises the temperature of 800 g of water from 24.0 degrees Celcius to 44.3 degrees Celcius. How much heat is generated in the reaction?
q = heat generated = mass H2O x specific heat H2O x (Tfinal-Tinitial)
Do you know specific heat H2O is 4.184 J/g*C
You have Tf and Ti
Post your work if you get stuck.
To find the heat generated in the reaction, we can use the formula:
q = mcΔT
where q is the heat generated, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature of the water.
Given:
- Mass of water (m) = 800 g
- Initial temperature (T1) = 24.0 °C
- Final temperature (T2) = 44.3 °C
First, let's calculate the change in temperature (ΔT):
ΔT = T2 - T1
ΔT = 44.3 °C - 24.0 °C
ΔT = 20.3 °C
Next, let's find the heat generated (q):
q = mcΔT
q = (800 g) × (4.18 J/g°C) × (20.3 °C)
The specific heat capacity of water, c, is approximately 4.18 J/g°C.
Calculating the heat generated:
q = (800 g) × (4.18 J/g°C) × (20.3 °C)
q ≈ 64,926.4 J
Therefore, approximately 64,926.4 J of heat is generated in the reaction.
To calculate the heat generated in the reaction, we need to use the formula:
q = m × c × ΔT,
Where,
q = heat generated,
m = mass of water,
c = specific heat capacity of water,
ΔT = change in temperature of water.
Let's calculate step by step:
Step 1: Calculate the mass of water.
Given, mass of water = 800 grams.
Step 2: Calculate the change in temperature.
Given, initial temperature = 24.0 degrees Celsius,
final temperature = 44.3 degrees Celsius.
ΔT = final temperature - initial temperature
ΔT = 44.3°C - 24.0°C
ΔT = 20.3°C
Step 3: Calculate the heat generated.
Using the formula:
q = m × c × ΔT
Given, specific heat capacity of water (c) = 4.18 J/g°C (joules per gram degree Celsius)
q = 800 g × 4.18 J/g°C × 20.3°C
Now, multiply the values:
q = 65,648 J or 65.648 kJ
Therefore, the heat generated in the reaction is 65.648 kJ.