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Physics / Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) 4 / Chapter 19 / Problem 19.113

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)

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Solved: A beaker with a metal bottom is filled with 20 g

Chapter 19, Problem 19.113

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QUESTION:

A beaker with a metal bottom is filled with 20 g of water at 20C. It is brought into good thermal contact with a 4000 cm3 container holding 0.40 mol of a monatomic gas at 10 atm pressure. Both containers are well insulated from their surroundings.What is the gas pressure after a long time has elapsed? You can assume that the containers themselves are nearly massless and do not affect the outcome.

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QUESTION:

A beaker with a metal bottom is filled with 20 g of water at 20C. It is brought into good thermal contact with a 4000 cm3 container holding 0.40 mol of a monatomic gas at 10 atm pressure. Both containers are well insulated from their surroundings.What is the gas pressure after a long time has elapsed? You can assume that the containers themselves are nearly massless and do not affect the outcome.

ANSWER:

Step 1 of 4

In an isochoric heating, we can express the pressure of the gas related to the initial pressure as

ie,

The initial temperature can be found from the ideal gas law applied in the initial state.

ie,

The volume is constant, that is .

Substituting, we find our pressure as

Now we need to find the temperature that the gas reaches to, .

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