Insulated Copper Block Heated to 60 Celsius

AI Thread Summary
To determine how long it takes for an insulated copper block to reach 60°C from an initial temperature of 20°C while receiving energy at a rate of 100 W, the mass of the copper block is calculated to be 8.930 kg using its density and volume. The specific heat of copper is 0.385 kJ/kg·K, which is essential for calculating the energy required to raise the temperature. The energy delivered by the 100 W resistor can be expressed as energy over time, where 1 W equals 1 Joule per second. The total energy needed to increase the temperature by 40°C is then calculated using the formula Q = mcΔT. This approach allows for the determination of the time required to reach the desired temperature.
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Homework Statement


An insulated copper block receives energy at a rate of 100 W from an embedded resistor. If the block has a volume of 10-3m3 and an initial temperature of 20°C, how long would it take, in minutes, for the temperature to reach 60°C?


Homework Equations



Copper specific heat = 0.385 KJ/Kg°K

Copper Density = 8930 Kh/m3

Q' = du/dt + d(KE)/dt + d(PE)/dt + W but there is no kinetic energy, potential energy or work done

Q = mcΔT


The Attempt at a Solution



Initially, I found the mass of the copper

mcopper = (8930 Kg/m-3)(10-3m3)
mcopper = 8.930 Kg

But I'm not sure if this will help me.

How do I interpret the energy give? Is the 100 W = Q?
 
Physics news on Phys.org
A watt is a unit of power, and the common name for the unit grouping: Joules/second.

Multiply watts by time to obtain the energy delivered over that time.
 
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