Explanation Given Info: Volume of the insulated bottle is 1.00 L and temperature of tea is 90.0 °C The heat added or rejected for a substance is given as, Q = m C P Δ T = m C P ( T f − T i ) (1) Here, Q is the heat added or rejected m is the mass of the substance C P is the specific heat at constant pressure Δ T is the temperature difference T f is the final temperature of the substance T i is the initial temperature of the substance Consider 0.8 L of tea at 90.0 °C mixing with 0.2 L of air at 25.0 ° C As the whole system is in thermal equilibrium, the heat added to the air will be equal to the heat rejected by the air as shown below. Q t = Q a m t C t Δ T t = m a C a Δ T a m t C t ( T t − T ) = m a C a ( T a − T ) Here, Q t is the heat added by tea Q a is the heat added to air m t is the mass of the tea m a is the mass of the air C t is the specific heat for tea C a is the specific heat for air T is the equilibrium temperature between tea and air T t is the temperature of the tea T a is the temperature of the air Solve the above equation to get T , T = m t C t T t + m a C a T a m t C t + m a C a (2) The mass of any substance can be given as, m = ρ V Here, m is the mass of substance ρ is the density of substance V is the volume of the substance Therefore, mass of the tea will be, m t = ( 1000 kg / m 3 ) ( 0.8 L ) ( 1 m 3 1000 L ) = 0.8 kg And, the mass of the air will be, m a = ( 1

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 17, Problem 42P

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Chapter 17, Problem 41P

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Chapter 17 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 17.2 - Prob. 17.1QQ Ch. 17.3 - Prob. 17.2QQ Ch. 17.3 - Prob. 17.3QQ Ch. 17.5 - Prob. 17.4QQ Ch. 17.6 - Characterize the paths in Figure 17.10 as...Ch. 17.7 - (i) How does the internal energy of an ideal gas...Ch. 17.10 - Prob. 17.7QQ Ch. 17 - Prob. 1OQ Ch. 17 - A 100-g piece of copper, initially at 95.0C, is...Ch. 17 - Prob. 3OQ

Ch. 17 - Prob. 4OQ Ch. 17 - Prob. 5OQ Ch. 17 - Prob. 6OQ Ch. 17 - Prob. 7OQ Ch. 17 - Prob. 8OQ Ch. 17 - Prob. 9OQ Ch. 17 - Prob. 10OQ Ch. 17 - Star A has twice the radius and twice the absolute...Ch. 17 - If a gas is compressed isothermally, which of the...Ch. 17 - When a gas undergoes an adiabatic expansion, which...Ch. 17 - Ethyl alcohol has about one-half the specific heat...Ch. 17 - Prob. 15OQ Ch. 17 - Prob. 1CQ Ch. 17 - Prob. 2CQ Ch. 17 - Pioneers stored fruits and vegetables in...Ch. 17 - Why is a person able to remove a piece of dry...Ch. 17 - Prob. 5CQ Ch. 17 - Prob. 6CQ Ch. 17 - It is the morning of a day that will become hot....Ch. 17 - You need to pick up a very hot cooking pot in your...Ch. 17 - Rub the palm of your hand on a metal surface for...Ch. 17 - Prob. 10CQ Ch. 17 - Prob. 11CQ Ch. 17 - Prob. 12CQ Ch. 17 - On his honeymoon, James Joule traveled from...Ch. 17 - Consider Joules apparatus described in Figure...Ch. 17 - Prob. 3P Ch. 17 - Prob. 4P Ch. 17 - Prob. 5P Ch. 17 - Prob. 6P Ch. 17 - Prob. 7P Ch. 17 - Prob. 8P Ch. 17 - Prob. 9P Ch. 17 - Prob. 10P Ch. 17 - Prob. 11P Ch. 17 - Prob. 12P Ch. 17 - Prob. 13P Ch. 17 - Prob. 14P Ch. 17 - In an insulated vessel, 250 g of ice at 0C is...Ch. 17 - Prob. 16P Ch. 17 - Prob. 17P Ch. 17 - Prob. 18P Ch. 17 - A 1.00-kg block of copper at 20.0C is dropped into...Ch. 17 - A resting adult of average size converts chemical...Ch. 17 - Prob. 21P Ch. 17 - Prob. 22P Ch. 17 - An ideal gas is enclosed in a cylinder with a...Ch. 17 - Prob. 24P Ch. 17 - Prob. 25P Ch. 17 - A sample of an ideal gas goes through the process...Ch. 17 - A thermodynamic system undergoes a process in...Ch. 17 - A gas is taken through the cyclic process...Ch. 17 - Consider the cyclic process depicted in Figure...Ch. 17 - Why is the following situation impossible? An...Ch. 17 - An ideal gas initially at 300 K undergoes an...Ch. 17 - In Figure P17.32, the change in internal energy of...Ch. 17 - Prob. 33P Ch. 17 - Prob. 34P Ch. 17 - Prob. 35P Ch. 17 - Prob. 36P Ch. 17 - Prob. 37P Ch. 17 - One mole of an ideal gas does 3 000 J of work on...Ch. 17 - A 1.00-mol sample of hydrogen gas is heated at...Ch. 17 - A sample of a diatomic ideal gas has pressure P...Ch. 17 - Prob. 41P Ch. 17 - Prob. 42P Ch. 17 - Prob. 43P Ch. 17 - Review. This problem is a continuation of Problem...Ch. 17 - Prob. 45P Ch. 17 - A 2.00-mol sample of a diatomic ideal gas expands...Ch. 17 - Prob. 47P Ch. 17 - An ideal gas with specific heat ratio confined to...Ch. 17 - Prob. 49P Ch. 17 - Prob. 50P Ch. 17 - Prob. 51P Ch. 17 - Prob. 52P Ch. 17 - Air (a diatomic ideal gas) at 27.0C and...Ch. 17 - Prob. 54P Ch. 17 - Prob. 55P Ch. 17 - Prob. 56P Ch. 17 - Prob. 57P Ch. 17 - Prob. 58P Ch. 17 - Prob. 59P Ch. 17 - Prob. 60P Ch. 17 - Prob. 61P Ch. 17 - Prob. 62P Ch. 17 - The surface of the Sun has a temperature of about...Ch. 17 - Prob. 64P Ch. 17 - At high noon, the Sun delivers 1 000 W to each...Ch. 17 - A theoretical atmospheric lapse rate. Section 16.7...Ch. 17 - Prob. 67P Ch. 17 - A sample of a monatomic ideal gas occupies 5.00 L...Ch. 17 - An aluminum rod 0.500 m in length and with a...Ch. 17 - Prob. 70P Ch. 17 - Prob. 71P Ch. 17 - Prob. 72P Ch. 17 - Prob. 73P Ch. 17 - Prob. 74P Ch. 17 - Prob. 75P Ch. 17 - Prob. 76P Ch. 17 - Prob. 77P Ch. 17 - Prob. 78P Ch. 17 - Prob. 79P Ch. 17 - Prob. 81P Ch. 17 - Prob. 82P Ch. 17 - Prob. 84P Ch. 17 - Prob. 85P Ch. 17 - Prob. 86P Ch. 17 - Prob. 87P Ch. 17 - Prob. 88P Ch. 17 - Water in an electric teakettle is boiling. The...

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Chapter 17 Solutions