Question

The burner on an electric stove has a power output of 2.0 kW. A 730 g stainless steel tea kettle is filled with 20∘C water and placed on the already hot burner. Calculate the time required to raise the temperature of the water to a certain level.

Answer 1

To calculate the time required to raise the temperature of the water in the tea kettle, use the formula Q = mcΔT to calculate the heat energy required and then use the formula t = Q/P to calculate the time required. Plug in the given values and calculate the time required.

Step-by-step explanation:

To calculate the time required to raise the temperature of the water in the tea kettle, we need to use the formula Q = mcΔT, where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

First, we need to calculate the heat energy required to raise the water temperature from 20°C to the desired temperature. The heat energy can be calculated using the formula Q = mcΔT. The specific heat capacity of water is approximately 4.184 J/g°C. The mass of the water is 730 g. The change in temperature is the desired temperature minus the initial temperature: ΔT = desired temperature - 20°C.

Once we have the heat energy, we can calculate the time required using the formula t = Q/P, where t is the time, Q is the heat energy, and P is the power output of the burner. The power output of the burner is given as 2.0 kW, which is equivalent to 2000 W.

Let's plug in the values and calculate the time required:

1. Calculate the heat energy: Q = mcΔT = (730 g)(4.184 J/g°C)(desired temperature - 20°C)
2. Calculate the time required: t = Q/P = (heat energy)/(power output of the burner)