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To determine the time this will take, you need to know the rate at which heat is being added to the system. The specific heat capacity of a substance is the amount of energy required to raise the temperature of one gram of a substance one degree centigrade. For water at 25oC, the specific heat capacity is 4.184 J*g-1*oC-1. That is, if you have one gram of water, you must add 4.184 Joules of energy (heat) to raise the temperature one one degree centigrade.

The time it takes for the temperature increase to happen depends on how quickly you add the 4.184 J. Adding heat at a rate of 1 Joule/second (which is equivalent to 1 Watt), it is easy to see that it will take 4.814 seconds to raise the temperature of the gram of water one degree centigrade.

The first step to solving your problem, then, is to make your data units compatible with your known constants. We need to convert volume to mass. We do this by means of density. The density of liquid water at standard temperature and pressure is 1g/mL.

1L H2O *1000mL/1L *1g H2O/mL H2O= 1000g H2O

Then, to find the amount of energy required to change the temperature of the mass, we use the specific heat.

1000g H2O *4.184J/(g*K)= 4184 J/oC

Note the units on this last value. They give the amount of energy needed required per degree centigrade of change in the temperature. That is, it requires 4814J to change the temperature of 1000g H2O one degree centigrade. Given the time rate of heat transfer into the system, you can find the time required to make the change. If, for instance, your heat exchange rate is 5 Watts (J/s), you would have

4184 J/oC * 1 second/5 Joules = 836.8 s/oC

This value allows you to calculate the time required for any change in temperature simply by multiplying the number of degrees centigrade temperature change. For one degree, we find

836.8 s/oC *1oC = 836.8s

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Related Questions

How much energy is required to raise the temperature of one liter of water 1 degree centigrade?

The specific heat of water is 4.179 Joules per gram per degree Centigrade. The density of water is 1 gram per cubic centimeter, so one liter is 1000 grams. This means it takes 4179 Joules to raise one liter one degree Centigrade.


How much time for 1 watt to raise 1 liter of water 1 degree centigrade?

1 second


What is the word origin of the word calorie?

"Calorie" comes to us from Latin "calor", meaning "warmth". A calorie is the energy required to raise the temperature of one gram of water by one degree centigrade.


How much heat is required to raise the temperature of 15 kg of water from 22 degree centigrade to 35 degree centigrade?

The specific heat capacity of water is 4.18 J/g°C. Using the formula Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature, we can calculate that the heat required is approximately 20910 Joules or 20.91 kJ.


What is the science definition for calorie?

A calorie is the amount of heat required to warm 1 gram of water one degree Centigrade. A Calorie spelt with a big "C" is a kilocalorie and is used in evaluating food energy. It is the heat required to raise 1 kilogram of water one Centigrade degree. On an energy basis a calorie is 41 840 000 ergs.


How much energy is required to raise 1 cubic centimeter of water 1 degree?

It takes 1 calorie of energy to raise 1 gram of water by 1 degree Celsius. Since 1 cubic centimeter of water is equivalent to 1 gram, it would take 1 calorie of energy to raise 1 cubic centimeter of water by 1 degree Celsius.


How long will it take 1 watt to heat 1 liter of water 1 degree centigrade?

Roughly 4200 seconds, since the specific heat of water is around 4.2J/gK (ie it takes 4.2 joules to raise 1 gram by 1 Kelvin); 1 litre = 1000 grams, 1 Celcius (centigrade) = 1K, 1W = 1J/s.


How do you use the word specific heat in a sentence?

Specific heat is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. For example, when cooking, the specific heat of water means that it takes longer to heat up compared to oil because water has a higher specific heat.


What is meant by kcal?

This is the abbreviation for kilocalorie, the metric name for one thousand calories. thus, 1.0 kcal = 1,000 cal Kilocalorie is the amount of heat energy require to raise 1 kilo or 2.2 pounds of water one degree Celsius ( centigrade ). Similarly, a calorie is the amount of heat energy required to raise one cubic centimetre of water one degree.


What is Joules per gram per degree centigrade?

Joules per gram per degree Celsius is a measure of specific heat capacity, which represents the amount of energy required to raise the temperature of 1 gram of a substance by 1 degree Celsius. It is a constant value unique to each substance and helps in determining how much heat energy is needed for temperature changes.


How much energy is required to raise the temperature of 1 g of water 1 degree Celsius?

Energy required to raise 1 gramme of water by 1 degree C = 1 calorie also, 1 calorie = 4.186 Joules


What is to raise the temperature of 1 gram of water 1 degree Clntigrade?

Depends on how high you want to raise the gram of water ;).