An automobile cooling system holds 18 L of water. How much heat does it absorb if its temperature rises from 15 ℃ to 95 ℃?
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Explanation:
Q = mc(Tf - Ti)
where
Q = heat
m = mass of the substance
Tf = Final temperature
Ti = initial Temperature
Given:
Tf = 90 degree C
Ti = 20 degree C
c = specific heat of water is 4190 J/kg K
Volume = 18 Liters
since we know that density of water is 1000 kg/m^3
and
density = mass/volume
lets first convert Liters to cubic meters
simple relations:
1 L = 1000 ml
1ml = 1cubic cm
1 cubic meters = 1000000 cubic cm
lets convert;
18Liters(1000 cubic cm / 1 Liters) (1 cubic meter / 1000000 cubic cm )
= 0.018 cubic meter (volume)
using the density of water
mass = density x volume
= (1000 kg / cubic meter)(0.018 cubic meter)
= 18 kg of water
then,
Q = 18kg( 4190 J/kg K) (70 K)
= 5279400 J of heat
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