Integrated Physics and Chemistry
posted by Kaitlin on .
A 5.0gram sample of gold and a 5.0gram sample of iron both absorb exactly 25 calories of energy. The specific heat of gold is 0.03 cal/g°C. The specific heat of iron is 0.11 cal/g°C. Which of the following statements is true?
A) The gold sample will experience a greater increase in temperature.
B) The iron sample will experience a greater increase in temperature.
C) Both samples will experience the same increase in temperature.
How would i figure this one out?

A. It takes only .03 cal to heat a gram of gold a degree but much more to heat the same mass of iron a degree.

Think about the equation that defines specific heat:
Q = M*C*(delta T)
In your case, Q (the added heat) and M (the mass) are the same for gold and iron.
That means deltaT (the change in termperature) is inversely proportional to C, the specific heat.
delta T = (Q/M)*(1/C)
You should be able to figure it out from there. 
So the gold sample will experience a greater increase in temperature?

Yes. Because gold has a lower specific heat (per unit mass), its temperature rises more.

Okay. Thank you for the help (:

Thanks to both of you (: