assume equal masses of the following substances, all of them at 20.0 degrees C and exposed to the same source of heat simultaneously. Which substance will reach a temp of 35.0 degress faster?
aluminium sp 0.900
lead sp 0.128
titanium sp 0.523
tin sp 0.222
3 answers
and which one will take the longest time to heat up to 35.5 degrees C?
The long way is to make up a value for q and m and calculate delta T for each metal as in
q = m*c*delta T then choose the one that has the highest delta T value. The more esoteric way is to reason it out.
q = mcdelta T and solve for delta T.
dT = q/m*c
The problem says q is the same and m is the same so we have dT = k/c. That tells us that the lowest heat capacity will have the largest effect on dT. And the largest heat capacity will have the smallest effect on delta T. I like the esoteric way better.
q = m*c*delta T then choose the one that has the highest delta T value. The more esoteric way is to reason it out.
q = mcdelta T and solve for delta T.
dT = q/m*c
The problem says q is the same and m is the same so we have dT = k/c. That tells us that the lowest heat capacity will have the largest effect on dT. And the largest heat capacity will have the smallest effect on delta T. I like the esoteric way better.
lead
3 answers