Question 93e81

Nov 17, 2016

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

$m = \text{1 kg}$
$c = \text{664 J·K"^"-1""kg"^"-1}$
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"#