Two solid objects, a and b, are placed in boiling water and allowed to come to temperature there. each is then lifted out and placed in separate beakers containing 1000 g of water at 10.0 ºc. object a increases the water temperature by 3.5 ºc; b increases the water temperature by 2.6 ºc. which has the larger specific heat?

Given:

Mass of object 'a' = Mass of object 'b' = 1000 g

Initial temperature of water T1 = 10 C

Increase in water temperature due to 'a' = 3.5 C

Increase in water temperature due to 'b' = 2.6 C

To determine:

If object 'a' or 'b' has the larger specific heat  

Explanation:

Heat (Q) involved in a chemical reaction is given as-

Q = mcΔT= mc(T2-T1) (1)

where m = mass

c = specific heat

ΔT = change in temperature

Now the specific heat is the amount of heat required to raise the temperature of a unit mass of a substance by 1 C.

c = Q/mΔT

Based on the above equation, for substances of equal masses, lower the ΔT value higher will be the specific heat.

For object a, ΔT = 3.5 C and for object b, ΔT = 2.6 C.

Hence b will have a higher specific heat.

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