Two solid objects, X and Y, of equal masses are placed in a molten lead bath...

Two solid objects, X and Y, of equal masses are placed in a molten lead bath and allowed to reach the bath temperature. (The objects themselves do not melt.) Each object is placed in a separate fish tank containing 1000 kg of water. Object X raises the water temperature by 20 °C while object Y raises the water temperature 80 °C. Which of the following is true? X has a larger specific heat than Y. Y has a larger specific heat than X. Both X and Y have the same heat capacity. Specific heats of X and Y cannot be determined from the given information. X has a specific heat four times that of Y.

a X has a larger specific heat than Y.

b	Y has a larger specific heat than X.

c	Both X and Y have the same heat capacity.

d	Specific heats of X and Y cannot be determined from the given information.

d	X has a specific heat four times that of Y.

Solutions

Expert Solution

To answer this question first one has to know definition of specific heat, which is

The specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius. The relationship between heat and temperature change is usually expressed in the form shown below where c is the specific heat. The relationship does not apply if a phase change is encountered, because the heat added or removed during a phase change does not change the temperature.

Q = heat added

c = spefcific heat

m = mass

= change in temperature

Now taking two objects X and Y and we know that Each object is placed in a separate fish tank containing 1000 kg of water. Object X raises the water temperature by 20 °C while object Y raises the water temperature 80 °C.

This means that the heat capacity of X to raise the temperature of water by 1 degree celsius is more than the object Y.

Hence option a. is coreect which is, the specific heat of object X is more than Y

queen_honey_blossom answered 1 year ago

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