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?

Respuesta :

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.



B has a larger specific heat than A.

The specific heat capacity of an object is the quantity of heat required to raise the temperature of 1 Kg of the substance by 1ºc. When a certain quantity of heat is supplied to substances, the substance having the highest specific heat capacity will experience the lowest temperature rise.

The rise in the temperature of the water is a measure of the magnitude of increase in temperature of the substances. Since substance B shows a lower increase in temperature than substance A, then B has a larger specific heat capacity than A.

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