Let
Q = heat required to raise water temp
Q = 2.3*(4.2 x 10^3)*(55 - 10)
Q = 434,700 joules
Let
Qs = heat given off by stove in 10 minutes
Qs = 1 kw * 1000 w/kw * 10 min * 60 sec/min = 600,000 joules
Heat loss = Qs - Q = 600,000 - 434,700 = 165,300 joules
Hope this helps.