Chapter 3: Q37P (page 642)

A blacksmith cools a 1.20 kg chunk of iron, initially at $650 ° C$ ,by trickling $15 ° C$ water over it. All of the water boils away, and the iron ends up at $120 ° C$ . How much water did the blacksmith trickle over the iron?

Short Answer

Expert verified

The 0.114 kg water did the blacksmith trickle over the iron.

Step by step solution

Definition of heat

The term heat may be defined as the energy transfer from one body to another body as a result change in temperature.

Determine the amount of water

Consider the given data as below.

Mass of iron, $m_{1} = 1.20 kg$

The heat capacity, $C_{l} = 0.47 \times 10^{3} J / kg ° C$

Initial temperature, $T_{1} = 650 ° C$

Water temperature, $T' = 15 ° C$

Boiling temperature, $T' = 100 ° C$

Final temperature, $T_{2} = 120 ° C$

Heat capacity of water, $C_{w} = 4190 J / kg ° C$

Heat capacity of iron, localid="1664337917208" $C_{l} = 0.47 \times 10^{3} J / kg ° C$

Due to change in system $Q_{W} = - Q_{iron} m_{w} C_{w} ∆ T_{w} + m_{w} L_{v} = - m_{l} c_{l} ∆ T_{l}$

$m_{w} = \frac{- m_{l} C_{l} ∆ T_{l}}{C_{w} ∆ T_{w} + L_{w}} = \frac{- m_{l} C_{l} (T_{2} - T_{1})}{C_{w} (T' - T) + L_{w}}$

Substitute known values in the above equation.

$m_{w} = \frac{(1.2) (0.47 \times 10^{3}) (120 - 650) ° C}{(4.19 \times 10^{3}) (100 - 15) ° C + (2256 \times 10^{3})} = 0.114 kg$

Hence, the 0.114kg water did the blacksmith trickle over the iron.

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A blacksmith cools a 1.20 kg chunk of iron, initially at $650 ° C$ ,by trickling $15 ° C$ water over it. All of the water boils away, and the iron ends up at $120 ° C$ . How much water did the blacksmith trickle over the iron?

Short Answer

Step by step solution

Definition of heat

Determine the amount of water

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Most popular questions from this chapter

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A blacksmith cools a 1.20 kg chunk of iron, initially at 650°C,by trickling 15°Cwater over it. All of the water boils away, and the iron ends up at 120°C. How much water did the blacksmith trickle over the iron?

Short Answer

Step by step solution

Definition of heat

Determine the amount of water

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Magnetism

Electrostatics

Fluids

Famous Physicists

Torque and Rotational Motion

Study anywhere. Anytime. Across all devices.

A blacksmith cools a 1.20 kg chunk of iron, initially at $650 ° C$ ,by trickling $15 ° C$ water over it. All of the water boils away, and the iron ends up at $120 ° C$ . How much water did the blacksmith trickle over the iron?