What is the mass of wood required to raise the temperature of 1000 kg of water from 25.0 to 100.0 °c (in kg with at least 3 sig the specific heat of water is 4.184 j/g°c, and the lower heating value of dry wood is 16.72 mj/kg.

1.877 x 10⁷ kg

Explanation:

To solve this problem we first use the equation:

Where Q is the heat needed to increase the temperature of a substance, m is the mass, c is the specific heat and ΔT is the difference in temperature.

For this problem:

We put the data in the equation and solve for Q:

So that's the energy required to heat 1000 kg of water, now we calculate the mass of wood using the equation:

Where b is the heating value of wood and m its mass: