
A calorimeter contains of water at . If of water at is mixed with the common temperature is . The water equivalent of the calorimeter is
(A)
(B)
(C)
(D)
Answer
502.8k+ views
Hint:-
Use the equation heat , is mass of the substance, is the specific heat and is the change in temperature. Water equivalent means the mass of water which can raise the same amount of temperature in this process.
Complete step by step solution:-
In this process the heat is transferred from hot to colder body.
Total heat transferred is common heat transferred in a calorimeter.
Heat is given by
But is specific heat is common in all, everything is water in this problem.
Value of specific heat of water
We can cancel out the specific heat.
Calorimeter contain water
Temperature of calorimeter
Amount of water added is
Temperature of added water
Common temperature or the equilibrium temperature
Change in common temperature
Change in calorimeter temperature
Change in added water temperature
Rearrange the equation
Water equivalent of calorimeter m
But in the option there are only two significant figures, and there only one digit after decimal point.
Approximate to
So the answer is (C)
Note:- In this question we don’t need the value of Specific heat of water, it cancels outs in both sides of the equation. Calorimeter is the measuring device of heat produced in any kind of reaction which produces any kind of reaction and the material properties like heat capacity, etc.
Use the equation heat
Complete step by step solution:-
In this process the heat is transferred from hot to colder body.
Total heat transferred is common heat transferred in a calorimeter.
Heat is given by
But
Value of specific heat of water
We can cancel out the specific heat.
Calorimeter contain water
Temperature of calorimeter
Amount of water added is
Temperature of added water
Common temperature or the equilibrium temperature
Change in common temperature
Change in calorimeter temperature
Change in added water temperature
Rearrange the equation
Water equivalent of calorimeter m
But in the option there are only two significant figures, and there only one digit after decimal point.
So the answer is (C)
Note:- In this question we don’t need the value of Specific heat of water, it cancels outs in both sides of the equation. Calorimeter is the measuring device of heat produced in any kind of reaction which produces any kind of reaction and the material properties like heat capacity, etc.
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