Q. 25 A 65聽cm3 block of iron is remov... [FREE SOLUTION]

Chapter 19: Q. 25 (page 544)

A $65 c m^{3}$ block of iron is removed from an $800^{0} C$ furnace and
immediately dropped into 200 mL of $20^{0}$ C water. What fraction
of the water boils away?

Short Answer

Expert verified

The iron block in this example provided energy to the water until it reached its phase shift. The leftover energy then converted a portion of the water to steam until the system reached equilibrium.

Step by step solution

Given information

Given:

We have $65 {cm}^{3}$ of iron at $800 掳 C, 200 mL$ of water at $20 掳 C$ .

Formula used:

role="math" localid="1650517403634" $m_{iron} 螖 C_{p, iron} 螖 T_{i, iron} + m_{water} 螖 C_{p, water} 螖 T_{i, water} = m_{iron} 螖 C_{p, iron} 螖 T_{f} + m_{water} 螖 C_{p, water} 螖 T_{f} + m_{steam} 螖 C_{steam}$

Simplification

Let us solve the $m_{steam}$

$m_{iron} 螖 C_{p, iron} 螖 T_{i, iron} + m_{water} 螖 C_{p, water} 螖 T_{i, water} - m_{iron} 螖 C_{p, iron} 螖 T_{f} - m_{water} 螖 C_{water} 螖 T_{f} = m_{steam} 螖 C_{p steam}$

$m_{iron} = 65 [{cm}^{3}] 螖 7.874 [\frac{g}{{cm}^{3}}] = 511.81 [g] m_{water} = 200 [m L] 螖 1 [\frac{g}{m L}] = 200 [g] C_{p, water} = 4.181 [\frac{J}{g 螖 K}] C_{p, iron} = 0.450 [\frac{J}{g 螖 K}]$

Latent heat to vaporize water:

$C_{steam} = 2257 [\frac{J}{g}] T_{i, water} = 20.0 [{}^{鈭�}C] + 273.15 = 293.15 [K] T_{i, iron} = 800 [{}^{鈭�}C] + 273.15 = 1073.15 [K] T_{f} = 100.0 [{}^{鈭�}C] + 273.15 = 373.15 [K]$

$m_{steam} = \frac{511.81 [g] 螖 0.45 [\frac{J}{g A K}] 螖 (1073.15 [K] - 373.15 [K]) + 200 | g | 螖 4.181 [\frac{J}{g A K}] 螖 (293.15 [K] - 373.15 [K])}{2257 [\frac{J}{K}]} m_{steam} = 41.79 [g] x = \frac{m_{staia}}{m_{vatir}} = \frac{41.79 鈭� g]}{200 鈭� g]} = 0.209 = 20.9 %$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

A $65 c m^{3}$ block of iron is removed from an $800^{0} C$ furnace and
immediately dropped into 200 mL of $20^{0}$ C water. What fraction
of the water boils away?

Short Answer

Step by step solution

Given information

Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Electricity

Physics of Motion

Further Mechanics and Thermal Physics

Fundamentals of Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

91影视

A 65cm3 block of iron is removed from an8000C furnace andimmediately dropped into 200 mL of 200C water. What fractionof the water boils away?

Short Answer

Step by step solution

Given information

Simplification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Electricity

Physics of Motion

Further Mechanics and Thermal Physics

Fundamentals of Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

A $65 c m^{3}$ block of iron is removed from an $800^{0} C$ furnace and
immediately dropped into 200 mL of $20^{0}$ C water. What fraction
of the water boils away?