how much in calories is required to raise the temperature of 415 grams of chloroform from 21.4 degrees c?
The specific heat of chloroform is 0.23 cal/g°c. How many joules does this equal?
You don't give enough information to answer the question. From 21.4 C to what higher temperature? But here is what you do.
q in cal = mass CHCl3 x specific heat CHCl3 x (Tfinal - Tinitial).
Then q in cal x 4.184 J/1 cal = ? J
To calculate the amount of calories required to raise the temperature of a substance, you can use the formula:
Q = m × c × ΔT
Where:
Q = amount of heat energy measured in calories
m = mass of the substance measured in grams
c = specific heat capacity of the substance measured in cal/g°C
ΔT = change in temperature measured in °C
Given the values:
m = 415 grams
c = 0.23 cal/g°C
ΔT = final temperature - initial temperature
We are trying to find the amount of calories required, so we need to calculate Q.
ΔT = final temperature - initial temperature
= (final temperature) - (21.4°C)
Since you haven't provided the final temperature, I'll assume it's given. Let's say the final temperature is T (°C).
ΔT = T - 21.4°C
Now we can plug in the values into the formula:
Q = m × c × ΔT
Q = 415 g × 0.23 cal/g°C × (T - 21.4°C)
To convert calories to joules, you can use the conversion factor 1 cal = 4.184 J.
To find the number of joules, we need to convert the calories:
Q (in joules) = Q (in calories) × 4.184 J/cal
So, to find the number of joules, we need to calculate Q (in calories) using the formula we derived above and then multiply by the conversion factor of 4.184.
If you provide the final temperature value, I can help you calculate the number of calories and then convert it to joules.