The specific heat capacity of a body depends on the
A) heat given
B) temperatures raised
C) mass of the body
D) material of the body
Answer
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Hint: According to the definition, the specific heat capacity of a body is the amount of heat required for the unit mass of the body to raise the temperature by \[{1^0}C\].
For example, the specific heat of copper \[0.09{\text{ }}cal/g{/^0}C\] means for 1 gram of copper to raise \[{1^0}\] temperature the required heat is 0.09 cal.
Complete step by step answer:
According to the definition, the Specific heat capacity of a body is the amount of heat required for the unit mass of the body to raise the temperature by \[{1^0}C\].
Therefore the specific heat of a body depends on the material of the body.
Specific heat does not depend on the heat given because the required amount of heat energy for unit mass per rising of \[{1^0}C\] can be measured from the given heat energy to get specific heat.
As per the definition of specific heat, we need to know the heat energy required to raise by \[{1^0}C\]. Hence Specific heat does not depend on the increase in temperature.
We need to know the amount of heat energy per unit mass to get the specific heat. Hence specific heat does not depend on the mass of the body.
As material to material the required heat energy will differ to get a temperature rise of 10$^o$C per unit mass, the specific heat capacity depends on the material of the body.
$\therefore $ We can say that option (D) is correct.
Additional information:
There are two kinds of Specific Heat Capacity that exist.
1. Heat capacity at constant pressure denoted as \[{C_p}\]
2. Heat Capacity at constant volume denoted as \[{C_v}\]
And, \[{C_p} - {C_v} = R\], where \[R\]= Universal gas constant.
Note:
The specific heat capacity(S) of a body can be defined as:
$S= $ Required temperature to raise \[\;{t^0}C\] temperature of $m$ mass of the body / Required temperature to raise \[\;{t^0}C\] temperature of m mass of Water.
Or, $S= $ Required temperature to raise \[\;{t^0}C\] temperature of a unit mass of the body / Required temperature to raise \[\;{t^0}C\] temperature of a unit mass of water.
For example, the specific heat of copper \[0.09{\text{ }}cal/g{/^0}C\] means for 1 gram of copper to raise \[{1^0}\] temperature the required heat is 0.09 cal.
Complete step by step answer:
According to the definition, the Specific heat capacity of a body is the amount of heat required for the unit mass of the body to raise the temperature by \[{1^0}C\].
Therefore the specific heat of a body depends on the material of the body.
Specific heat does not depend on the heat given because the required amount of heat energy for unit mass per rising of \[{1^0}C\] can be measured from the given heat energy to get specific heat.
As per the definition of specific heat, we need to know the heat energy required to raise by \[{1^0}C\]. Hence Specific heat does not depend on the increase in temperature.
We need to know the amount of heat energy per unit mass to get the specific heat. Hence specific heat does not depend on the mass of the body.
As material to material the required heat energy will differ to get a temperature rise of 10$^o$C per unit mass, the specific heat capacity depends on the material of the body.
$\therefore $ We can say that option (D) is correct.
Additional information:
There are two kinds of Specific Heat Capacity that exist.
1. Heat capacity at constant pressure denoted as \[{C_p}\]
2. Heat Capacity at constant volume denoted as \[{C_v}\]
And, \[{C_p} - {C_v} = R\], where \[R\]= Universal gas constant.
Note:
The specific heat capacity(S) of a body can be defined as:
$S= $ Required temperature to raise \[\;{t^0}C\] temperature of $m$ mass of the body / Required temperature to raise \[\;{t^0}C\] temperature of m mass of Water.
Or, $S= $ Required temperature to raise \[\;{t^0}C\] temperature of a unit mass of the body / Required temperature to raise \[\;{t^0}C\] temperature of a unit mass of water.
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