How many calories will it take to raise the temperature of a 41 g gold chain from 20°C to 100°C?
The answer is 102 calories. I've tried everything and can't come up with that answer. Does someone have any idea what was used for a formula?
Thanks
heat = mass * temp change * specific heat
make sure the units are consistent
I understand the formula. I haven't been able to get a correct answer. I don't know what I'm doing wrong.
Thanks though.
post your work, so we can find your error. It probably is in the units.
80 x 41 x .129 wrong
80 x 41 x .03 wrong
Thanks
80g x 80C x ?
your .129 is Joules/gC which is the wrong unit.
converting that to calories, I get .0308 C/gC
so the units tell me it is
80C*41g*.0308calories/gC
To calculate the number of calories required to raise the temperature of an object, you can use the formula:
Q = m * c * ΔT
where:
Q is the heat energy in calories,
m is the mass of the object in grams,
c is the specific heat capacity of the material, and
ΔT is the change in temperature in degrees Celsius.
In this case, you have a gold chain with a mass of 41 grams and you want to raise its temperature from 20°C to 100°C. To find the answer, you will need to know the specific heat capacity of gold.
The specific heat capacity of gold is approximately 0.03 calories per gram per degree Celsius (0.03 cal/g°C). Plugging in the values into the formula:
Q = 41 g * 0.03 cal/g°C * (100°C - 20°C)
Calculating this:
Q = 41 g * 0.03 cal/g°C * 80°C
Q = 98.4 calories
So, the correct answer should be 98.4 calories, not 102 calories.
It's possible that there was a mistake in the given answer of 102 calories. However, keep in mind that different sources may have slightly different values for the specific heat capacity of gold, which can result in a small discrepancy in the final result.