How much heat (calories) is required to raise the temperature

In summary, to raise the temperature of 20g of water from 15oC to 95oC, you would need 2400 calories of heat. This is calculated by multiplying the change in temperature (80oC) by the mass of water (20g) and the specific heat capacity (1.0 cal/g*oC). Alternatively, if working in Joules and Kg, the equation Q = mcT can be used, with 'c' representing the specific heat capacity.
  • #1
Linzy
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Homework Statement


How much heat (calories) is required to raise the temperature of 20 g water from 15oC to 95oC? The specific heat capacity of water is 1.0 cal/g*oC.


Homework Equations





The Attempt at a Solution



95-15 = 80oC
80oC *30 g = 2400 cal.

Is that basically what you have to do? Or is there a more formal equation to use?
 
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  • #2


No - it is that simple.
The definiation of a calorie is the energy needed to heat 1g of water 1deg C - isn't the metric system wonderful!

If you are working in Joules and Kg the equation is Q = mcT Where 'c' is the specific heat capacity - the number of Joules needed to heat 1kg of water by 1deg C.
 
  • #3


Your attempt at a solution is correct. The amount of heat (calories) required to raise the temperature of a substance can be calculated using the formula:

Q = m * c * ΔT

Where Q is the amount of heat (calories), m is the mass of the substance (in grams), c is the specific heat capacity of the substance (in cal/g*oC), and ΔT is the change in temperature (in oC).

In this case, the mass of water is 20 g, the specific heat capacity of water is 1.0 cal/g*oC, and the change in temperature is 80oC. Plugging these values into the formula, we get:

Q = (20 g) * (1.0 cal/g*oC) * (80oC) = 1600 cal

So, the amount of heat required to raise the temperature of 20 g of water from 15oC to 95oC is 1600 calories.
 

1. How is heat (calories) related to temperature?

Heat is a form of energy that can be transferred from one object to another. When heat is transferred to an object, the molecules within the object start to move faster, resulting in an increase in temperature.

2. What unit is used to measure heat?

The unit used to measure heat is the calorie. One calorie is defined as the amount of heat energy required to raise the temperature of one gram of water by one degree Celsius.

3. How much heat is required to raise the temperature of a substance?

The amount of heat required to raise the temperature of a substance depends on its specific heat capacity, which is the amount of heat needed to raise the temperature of one gram of the substance by one degree Celsius. Different substances have different specific heat capacities.

4. Does raising the temperature always require the same amount of heat?

No, the amount of heat required to raise the temperature of a substance can vary depending on factors such as the starting temperature of the substance, the amount of the substance, and the specific heat capacity of the substance.

5. How does heat transfer affect temperature?

Heat transfer can cause a change in temperature. When heat is transferred to a substance, its temperature will increase. On the other hand, when heat is removed from a substance, its temperature will decrease.

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