Question
Decide the unit for specific heat capacity.
✓
Answer
1. The amount of heat $(Q)$ required to change the temperature of a substance is directly proportional to:
a. the mass of the substance $( m )$.
b. change in temperature of the substance $(\Delta T)$.
$\therefore Q \propto m$ and $Q \propto \Delta T$
$\therefore Q \propto m \Delta T$
$\therefore Q = cm \Delta T$
where ' $c$ ' is specific heat or specific heat capacity of a substance. From equation (1),
$
c=\frac{ Q }{ m \Delta T }
$
2. SI unit:
As $SI$ unit of heat is J, mass is $kg$ and change in temperature is ${ }^{\circ} C$, SI unit of specific heat capacity is $J / kg { }^{\circ} C$
3. C.G.S. unit:
As CGS unit of heat is calorie, mass is $g$ and change in temperature is ${ }^{\circ} C , CGS$ unit of specific heat capacity is cal $/ g ^{\circ} C$
a. the mass of the substance $( m )$.
b. change in temperature of the substance $(\Delta T)$.
$\therefore Q \propto m$ and $Q \propto \Delta T$
$\therefore Q \propto m \Delta T$
$\therefore Q = cm \Delta T$
where ' $c$ ' is specific heat or specific heat capacity of a substance. From equation (1),
$
c=\frac{ Q }{ m \Delta T }
$
2. SI unit:
As $SI$ unit of heat is J, mass is $kg$ and change in temperature is ${ }^{\circ} C$, SI unit of specific heat capacity is $J / kg { }^{\circ} C$
3. C.G.S. unit:
As CGS unit of heat is calorie, mass is $g$ and change in temperature is ${ }^{\circ} C , CGS$ unit of specific heat capacity is cal $/ g ^{\circ} C$
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