Insulated Copper Block Heated to 60 Celsius

[Northbysouth]

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

m_copper = (8930 Kg/m^-3)(10^-3m³)
m_copper = 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?

 

[gneill]

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.