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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
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

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