What information is given? You know that: the specific heat is 1.0 cal/g°C the mass of water is 25.1 g the temperature change is 72.0°C How is the information in the problem related to the unknown? The relationship between heat and temperature change is heat = mass × specific heat × temperature change Do the math.
http://antoine.frostburg.edu/chem/senese/101/thermo/faq/energy-required-for-temperature-rise.shtml
A large specific heat means you have to put in a lot of energy for each degree increase in temperature. Specific heat is measured in joules per kilogram per degree Celsius (joule/kg°C) which means how many joules it takes to raise 1kg of the substance 1°C.
http://bickfordscience.com/03-05_State_Changes/PDF/Specific_Heat.pdf
4.186 Joule = 1 calories. Another common energy unit is the calorie. The calorie, cal, is defined as the amount of energy (heat) needed to increase the temperature of one gram of water by 1oC. The kilocalorie, kcal, equals 1000 small calories. To make life more complicated Nutritional energy values are reported in dietetic calories or the big Calorie.
http://800mainstreet.com/2/002-24.html
Calories is the more common SI unit for heat energy. Because they are both measuring energy we can easily convert one to another. 4.184 joules = 1 calorie The specific heat is a property of a substance that tells us how much heat is needed to raise the temperature of one kilogram of a material by one degree Celsius.
http://bickfordscience.com/03-05_State_Changes/PDF/Specific_Heat.pdf
The amount of temperature increase also depends on the kind of material you are heating. It takes different amounts of energy to raise the temperature of different materials. You need to add 4,184 joules of heat to 1 kilogram of water to raise the temperature by 1°C.
http://bickfordscience.com/03-05_State_Changes/PDF/Specific_Heat.pdf
Example 1: How much energy does it take to raise the temperature of 50 g of copper by 10 0C? Example 2: If we add 30 J of heat to 10 g of aluminum, by how much will its temperature increase? Thus, if the initial temperture of the aluminum was 20 0C then after the heat is added the temperature will be 28.3 0C.
http://www.iun.edu/~cpanhd/C101webnotes/matter-and-energy/specificheat.html
The specific heat is the energy that will raise the temperature of one kilogram by 1°C. 1. If 100 joules of energy were applied to all of the substances listed in the table at the same time, which would heat up fastest? Explain your answer.
http://bickfordscience.com/03-05_State_Changes/PDF/Specific_Heat.pdf
Your reasoning should go something like this: The specific heat means that it takes 1.0 calories of heat to warm 1 g of water up by 1°C. So it should take 25.1 calories to warm up 25.1 g of water by 1&degC. And it should take 72.0×25.1 calories to warm up 25.1 g of water by 72.0°C. You can also check the answer by working the problem backwards. For example, take the calories just calculated and divide them by the temperature change and the grams of water; do you get a specific heat of 1.0 cal/g°C?
http://antoine.frostburg.edu/chem/senese/101/thermo/faq/energy-required-for-temperature-rise.shtml
The amount of heat needed to increase the temperature of any object can be figured using this relationship. Heat in calories = mass in gram x temperature change oC x specific heat [ cal / gram oC] The formula has four terms in it.
http://800mainstreet.com/2/002-24.html
4.179. 417.9. Consider the specific heat of copper, 0.385 J/g 0C. What this means is that it takes 0.385 Joules of heat to raise 1 gram of copper 1 degree celcius. Thus, if we take 1 gram of copper at 25 0C and add 1 Joule of heat to it, we will find that the temperature of the copper will have risen to 26 0C. We can then ask: How much heat wil it take to raise by 1 0C 2g of copper?.
http://www.iun.edu/~cpanhd/C101webnotes/matter-and-energy/specificheat.html
how much heat is needed to raise the temperature
To add 4,184 joules of heat to 1 kilogram of water to raise the temperature by 1°C.