Question #93e81

1 Answer
Nov 17, 2016

Answer:

It will take 24 kJ of heat.

Explanation:

The energy #q# required to heat an object is given by the formula

#color(blue)(bar(ul(|color(white)(a/a)q = mcΔTcolor(white)(a/a)|)))" "#

where

#m# is the mass
#c# is the specific heat capacity
#ΔT# is the change in temperature

In your problem,

#m = "1 kg"#
#c = "664 J·K"^"-1""kg"^"-1"#
#ΔT = T_"f" - T_"i" = "122 °C - 86 °C = 36 °C = 36 K"#

#q = 1 color(red)(cancel(color(black)("kg"))) × "664 J"·color(red)(cancel(color(black)("K"^"-1"·"kg"^"-1"))) × 36 color(red)(cancel(color(black)("K"))) = "23 900 J" = "24 kJ"#