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Chapter 19: Q. 45 (page 545)

A lava flow is threatening to engulf a small town. A 400-m-wide, 35-cm-thick tongue of 1200°C lava is advancing at the rate of 1.0 m per minute. The mayor devises a plan to stop the lava in its tracks by flying in large quantities of 20°C water and dousing it. The lava has density 2500 kg/m3, specific heat 1100 J/kg K, melting temperature 800°C, and heat of fusion 4.0 * 105 J/kg. How many liters of water per minute, at a minimum, will be needed to save the town?

Short Answer

Expert verified

The per litre is 11325 litre comes per minute

Step by step solution

01

Defination of boiling point 

At high rate of temperature of water, water turns into vapoure. it is the boiling point of water

02

Finding of volume 

Q=m(c∆T+Le)

The heat is latent heat temperature

Now at a freeze heat temperature

Q=ρwF(c∆T+Lf)

therefore, Q=Whρlm(c∆t+Lf)

Now similar to two-equation

ρwF(c∆T+Lf)=Whρlm(c∆t+Lf)

Applying all values

ρwF(c∆T+Lf)=Whρlm(c∆t+Lf)F=Whρlm(c∆t+Lf)(c∆T+Lf)ρw=400×0.35×1×2500(1100+×400+400000)1000×4200×80+2.26×106=11.325m3/min=11325litre

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Most popular questions from this chapter

You come into the lab one day and find a well-insulated 2000mL thermos bottle containing 500mL of boiling liquid nitrogen. The remainder of the thermos has nitrogen gas at a pressure of 1.0 atm. The gas and liquid are in thermal equilibrium. While waiting for lab to start, you notice a piece of iron on the table with " 197g" written on it. Just for fun, you drop the iron into the thermos and seal the cap tightly so that no gas can escape. After a few seconds have passed, what is the pressure inside the thermos? The density of liquid nitrogen is 810kg/m3.

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