Physics heat problem Using calories.

[astru025]

Homework Statement

How many calories will it take to raise the temperature of a 44 g gold chain from 20°C to 125°C?

Homework Equations

You are trying to raise the temperature of 44 g. of gold by 105 degrees celsius. I tried 44 x 105 but this answer was incorrect.

3. The Attempt at a Solution
The answer is got was 4620 cal. But this was not correct.

 

[Chestermiller]

You also have to multiply by the heat capacity of gold(solid) to get the number of calories.

Chet

 

[CWatters]

They told you it was gold because different materials have different thermal properties. It takes more energy to heat up 44g of water by 105C then it does to do the same if it's gold, wood, air...

See the table of data for various materials down here..
http://en.wikipedia.org/wiki/Heat_capacity#Table_of_specific_heat_capacities

Note the units. If you use this data you will have to convert the resulting energy from Joules to Calories.

 

[astru025]

Thank you very much! I came up with the correct answer

 

[Nickie]

I would approach this problem by first understanding the concept of specific heat capacity, which is the amount of heat required to raise the temperature of a substance by 1 degree Celsius per unit mass. In this case, we are dealing with gold, which has a specific heat capacity of 0.129 J/g°C.

Next, I would calculate the amount of heat required to raise the temperature of the gold chain from 20°C to 125°C using the formula Q = m x c x ΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

So, Q = (44 g) x (0.129 J/g°C) x (125°C - 20°C) = 462.48 J.

Since we are using calories as the unit of energy, we need to convert the answer to calories by dividing it by 4.184, which gives us 110.6 cal. Therefore, it would take approximately 110.6 calories to raise the temperature of a 44 g gold chain from 20°C to 125°C.

It is important to note that this calculation does not take into account any external factors such as heat loss to the surroundings, which may affect the actual amount of heat required. However, this is a good estimate and should give us a close approximation of the amount of energy needed to raise the temperature of the gold chain.