Aluminum Double

A cold piece of aluminum and a hot piece of copper have the same masses. The specific heat capacity of alumin?

A cold piece of aluminum and a hot piece of copper have the same masses. The specific heat capacity of aluminum is more than double that of copper. If the aluminum and the copper are put in thermal contact, which object experiences the greater temperature change during the time the system takes to reach thermal equilibrium? Assume an isolated system consisting of only the two pieces of metals.

heat lost = heat gained but…
let’s say metal A has a specific heat of 2x and metal B has a specific heat of x
this means that it takes 2x the energy to raise the temperature of metal A 1ºC as it does to raise the temperature of B 1ºC

therefore, the loss of energy to decrease temperature by 1ºC will be 2x in A and 1x in B.
metal A will absorb the heat from B and it’s temperature will increase 1/2x as fast as the temperature of metal B decreases.

let’s look at this in another manner
you have 0 marbles and your friend has 40 marbles
for every marble you gain from your friend, you gain 1 point. for every 1 marble your friend gives to you, he loses 2 points.

who has the largest difference in points after your friend loses 20 marbles and you gain 20 marbles
you get 20points he loses 40 points.

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