Calculate the time taken to heat 2kg of water from 50°C to 100°C in an electric kettle taking 5A, from a 210V supply. (Specific heat capacity of water = 420...
Calculate the time taken to heat 2kg of water from 50°C to 100°C in an electric kettle taking 5A, from a 210V supply. (Specific heat capacity of water = 4200\(kg^{-1}K{-1}\)
Answer Details
The formula to use is:
energy supplied = mass x specific heat capacity x temperature change
First, let's calculate the energy required to heat the water:
energy = 2kg x 4200\(kg^{-1}K^{-1}\) x (100°C - 50°C)
energy = 420000 J
Now, we can calculate the power of the electric kettle:
power = voltage x current
power = 210V x 5A
power = 1050W
The time taken to heat the water can be calculated using the formula:
time = energy / power
Substituting the values we have:
time = 420000 J / 1050W
time = 400 seconds
Converting seconds to minutes:
time = 400 seconds ÷ 60 seconds/minute
time = 6.7 minutes
Therefore, the time taken to heat 2kg of water from 50°C to 100°C in an electric kettle taking 5A, from a 210V supply is 6.7 minutes.