Answer:
The maximum power is 23.89 k watt.
Explanation:
Given that,
Diameter = 0.015 m
Long = 0.3 m
Initial temperature = 20°C
Final temperature = 150°C
Suppose the material is copper and here no maintain at time so we assuming heat supplied per unit time
We need to calculate the energy
Using formula of energy
[tex]\Delta Q=mc_{p}\Delta T[/tex]
[tex]\Delta Q=\rho\times V\times c_{p}\times\Delta T[/tex]
[tex]\Delta Q=8960\times\dfrac{\pi}{4}\times(0.015)^2\times0.3\times385\times(423-293)[/tex]
[tex]\Delta Q=23897.6\ J[/tex]
[tex]\Delta Q=23.89\ kJ[/tex]
We need to calculate the power
Using formula of power
[tex]P=\dfrac{\Delta Q}{dt}[/tex]
[tex]P=23.89\ k watt[/tex]
Hence, The maximum power is 23.89 k watt.