   Chapter 11, Problem 17P

Chapter
Section
Textbook Problem

What mass of water at 25.0°C must be allowed to conic to thermal equilibrium with a 1.85-kg cube of aluminum initially at 1.50 × 102°C to lower the temperature of the aluminum to 65.0°C? Assume any water turned to steam subsequently recondenses.

To determine
The mass of water must be allowed to come to thermal equilibrium with hot aluminum.

Explanation

Given Info: Initial temperature of water is 25.0°C , mass of aluminum is 1.85 kg, initial temperature of the aluminum is 1.50×102°C and final temperature of the aluminum is 65.0°C .

Formula to calculate Heat gained by water is,

QW=mWcW(TfTiW)

• QW is the heat gained by water,
• mW is the mass of water,
• cW is the specific heat of water,
• TiW is the initial temperature of water,
• Tf is the final temperature of water,

Formula to calculate Heat lost by aluminum is,

QAl=mAlcAl(TfTiAl)

• QAl is the heat lost by aluminum,
• mAl is the mass of aluminum,
• cAl is the specific heat of aluminum,
• TiAl is the initial temperature of aluminum,

Heat gained by the water is heat lost by the aluminum QW=QAl .

Equate both heat energy equations and rewrite it in terms of m

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

What is needed to designate a position?

An Introduction to Physical Science

What is hereditarianism, and what is the invalid assumption it makes?

Human Heredity: Principles and Issues (MindTap Course List)

Can a constant magnetic field set into motion an electron initially at test? Explain your answer.

Physics for Scientists and Engineers, Technology Update (No access codes included) 