   Chapter 11, Problem 37P

Chapter
Section
Textbook Problem

A high-end gas stove usually has at least one burner rated at 14 000 Btu/h. (a) If you place a 0.25-kg aluminum pot containing 2.0 liters of water at 20.°C on this burner, how long will it take to bring the water to a boil, assuming all the heat from the burner goes into the pot? (b) Once boiling begins how much time is required to boil all the water out of the pot?

To determine
The time to bring the water to boil.

Explanation

Section 1:

To determine : The mass of the water.

Answer: The mass of water is 2.0 kg.

Explanation :

Given Info: Mass of aluminum pot is 0.25 kg, burner rate is 14000 Btu/h,  volume of water is 2.0 liter and initial temperature of water is 20.0°C .

Formula to calculate the mass of the water is,

m=ρV

• m is the mass of water,
• ρ is the density of water,
• V is the volume of water,

Substitute 1000kg/m3 for ρ , 2.0 liter for V to find m.

m=(1000kg/m3)(2.0liter)(103m31liter)=2.0kg

The mass of water is 2.0kg .

Section 2:

To determine: The energy required to increase the temperate up to the boiling point of the water.

Answer: The energy required to increase the temperate up to the boiling point of the water is 6.9×105J .

Explanation:

Given Info: Mass of aluminum pot is 0.25 kg and initial temperature of water is 20.0°C .

Water and aluminum pot is at same temperature. First, the heat supplied must increase the temperature of water and pot till the water reaches its boiling point.

Formula to calculate the energy required to increase the temperate up to the boiling point is,

Qboil=(mwatercwater+mAlcAl)(TfTi)

• Qboil is the heat required to raise the temperature of water to 100°C
• mwater is the mass of water,
• cwater is the specific heat capacity of water,
• mAl is the mass of aluminum pot,
• cAl is the specific heat capacity of aluminum pot,
• Ti is the initial temperature of water and aluminum pot,
• Tf is the boiling temperature of water,

Substitute 2.0 kg for mwater , 4186J/kg°C for cwater , 0

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