To what height was a bucket of water with a volume of 10 liters raised if its potential energy is equivalent

To what height was a bucket of water with a volume of 10 liters raised if its potential energy is equivalent to the amount of heat released during the complete combustion of 0.5 g of peat? the weight of the empty bucket is negligible

Vw = 10 l = 0.01 m3.

ρ = 1000 kg / m3.

g = 10 N / kg.

q = 1.4 * 107 J / kg.

mt = 0.5 g = 0.0005 kg.

En = Q.

h -?

The potential energy of a body with mass m, raised above the earth’s surface to a height h is determined by the formula: En = m * g * h, where g is the acceleration of gravity.

m = Vw * ρ.

En = Vw * ρ * g * h.

The amount of heat Q that is released during fuel combustion is expressed by the formula: Q = q * mt, where q is the specific heat of combustion of peat, mt is the mass of peat that has burned.

Vw * ρ * g * h = q * mt.

h = q * mt / Vw * ρ * g.

h = 1.4 * 107 J / kg * 0.0005 kg / 0.01 m3 * 1000 kg / m3 * 10 N / kg = 70 m.

Answer: a bucket of water was raised to a height of h = 70 m.