A 15 kg block of iron specific heat 045 kJkgK is heated by c

A 15 kg block of iron (specific heat 0.45 kJ/(kgK)) is heated by conduction at a rate of 1 kW. Assuming the block to be uniform at all time, determine the rate of change of temperature (dT/dt)

dT/dt=__________ K/s

Solution

Here,

mass of block , m = 15 Kg

specific heat of iron , S = 0.45 kJ/(Kg.K)

Now ,

rate of energy added to block = m * S * dT/dt

1 = 0.45 * 15 * dT/dt

dT/dt = 0.148 K/s

the rate of change of the temperature of the block is 0.148 K/s