Navneet kumar
Last Activity: 11 Years ago
The relation between the change in heat energy and the change in temperature of a metal of mass m having specific heat capacity equals to S is given as,
? Q = m c ? T
The above equation can also be written as,
d Q = m S d T
On susbtituting for S and unit mass (m=1 kg) we get,
d Q = a T 3 d T
Now integrating both sides with the range 0 to Q for heat energy and from 1 K to 2 K for the temperature we get,
? 0 Q d Q = a ? 1 2 T 3 d T Q 0 Q = a T 4 4 1 2 Q = a 2 4 - 1 4 4 Q = a 16 - 1 4 Q = 15 4 a