Hey Mate!
1. a. An iron ball requires 5000 J heat energy to raise its temperature by 10°C. Calculate the heat capacity of the iron ball.
b. If the mass of ball is 1.1 kg, find the specific heat capacity of iron.
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Answers
QÛÊẞTÎÕÑ:
Q1·
a· An iron ball requires 5000 J heat energy to raise its temperature by 10°C. Calculate the heat capacity of the iron ball.
ÃÑẞWÊR:
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Given ( a ) :-
• An Iron ball requires 5000 J heat energy to raise it temperature .
• It needs to raise it temperature by 10° C
Solution ( a) :-
Here,
We have to find heat capacity to Iron ball .
[ Heat capacity is the ratio of heat absorbed by the material to raise it's temperature. The heat capacity in calories per gram is called specific heat ]
As we know that,
Q = mc * ΔT
• Q stands for heat energy
• m stands for mass
• c specific heat capacity
• ΔT stands for change in temperature
But here, we have to find heat capacity
Therefore,
Q = Hc * ΔT
5000 = Hc * 10
Hc = 5000/10
Hc = 500 JK-1
Hence, Heat capacity is 500 JK-1
Given ( b)
• Here, Heat energy = 5000
• Change in Temperature = 10° C
• Mass of the ball = 1.1 Kg
Solution ( b)
Here,
We have to find specific heat
[ Specific heat is defined as the heat required to raise the temperature of the given substance by a given amount ]
Now ,
By using formula :-
Q = mc * ΔT
Here, Q = 5000 , m = 1.1 , ΔT = 10
Put the required values in the formula,
5000 = 1.1 * c * 10
5000 = 11 * c
c = 5000/11
c = 455 JK-1