If a tank containing 20kg of water at 20 is fitted with a stirrer that delivers work to the water at the rate of 0.25 kw
Answers
time taken to raise the temperature of water from 20°C to 30°C is 3344sec
your question is --> tank containing 20 kg of water at 20°C fitted with a stirrer that delivers work to the water at the rate of 0.25kW. How long does it take for the temperature of the water to rise to 30° C if no heat is lost from the water? For water Cp=4.18 KJ/kg/C
mass of water , m = 20kg
Initial temperature, T_i = 20°C
final temperature , T_f = 30°C
let after time t, Temperature of water rises from 20°C to 30°C.
work done in time t, W = 0.25t kJ
from calorimetry,
mCp ∆T = W
⇒20kg × 4.18 kJ/kg/°C × (30°C - 20°C) = 0.25t kJ
⇒20 × 4.18 × 10 = 0.25t
⇒t = 2 × 418/0.25 = 8 × 418 sec
= 3344 sec
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your question is --> tank containing 20 kg of water at 20°C fitted with a stirrer that delivers work to the water at the rate of 0.25kW. How long does it take for the temperature of the water to rise to 30° C if no heat is lost from the water? For water Cp=4.18 KJ/kg/C
mass of water , m = 20kg
Initial temperature, T_i = 20°C
final temperature , T_f = 30°C
let after time t, Temperature of water rises from 20°C to 30°C.
work done in time t, W = 0.25t kJ
from calorimetry,
mCp ∆T = W
⇒20kg × 4.18 kJ/kg/°C × (30°C - 20°C) = 0.25t kJ
⇒20 × 4.18 × 10 = 0.25t
⇒t = 2 × 418/0.25 = 8 × 418 sec
= 3344 sec