Explanation 1) Concept: First, we have to find the change in the entropy ∆ S from temperature of ice T i = - 20 ℃ = 253 K and T f = 273 K and from initial temperature T i = 273 K and the final temperature T f = 313 K of water. By adding these values, we get the total change in the entropy for the ice and water. 2) Formula: i) The energy received as heat when the temperature changes by d T is: d Q = m c d T ii) The change in the entropy is ∆ S = ∫ d Q T … … … … … … … … … … … … … … … … … … … … … … … … … … … … … . . ( 20 - 1 ) iii) At melting point, the energy leaving the ice as heat is Q = m L F … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … . . ( 18 - 16 ) where, L F is the heat of fusion of ice. iv) The total change in the entropy for the ice and the water is ∆ S = ∆ S 1 + ∆ S 2 + ∆ S 3 3) Given: i) The mass of the sample of the water is m = 0.600 k g . ii) The initial temperature is T i = - 20 ℃ = 253 K . iii) Increase in the temperature is 40 ℃ . 4) Calculations: As ice warms, the energy it receives as heat when the temperature changes by d T is d Q = m c I d T Where, m is the mas of ice and c I is the specific heat of ice. If temperature of ice T i = - 20 ℃ = 253 K is the initial temperature and T f = 273 K is the final temperature, then the change in its entropy is ∆ S I = ∫ d Q T ∆ S I = m c I ∫ T i T f d T T ∆ S I = m c I I n T f T i ∆ S I = 0.60 k g × 2220 J / k g

FUND. OF PHYSICS (LL)-W/WILEY+NEXTGEN(2)

11th Edition

ISBN: 9781119787235

Author: Halliday

Publisher: WILEY

See similar textbooks

Question

Chapter 20, Problem 59P

To determine

To find

The sample’s entropy change if its temperature is increased to 40℃.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 20, Problem 58P

Chapter 20, Problem 60P

Students have asked these similar questions

In the pivot assignment, we observed waves moving on a string stretched by hanging weights. We noticed that certain frequencies produced standing waves. One such situation is shown below: 0 ст Direct Measurement ©2015 Peter Bohacek I. 20 0 cm 10 20 30 40 50 60 70 80 90 100 Which Harmonic is this? Do NOT include units! What is the wavelength of this wave in cm with only no decimal places? If the speed of this wave is 2500 cm/s, what is the frequency of this harmonic (in Hz, with NO decimal places)?

Four capacitors are connected as shown in the figure below. (Let C = 12.0 µF.) A circuit consists of four capacitors. It begins at point a before the wire splits in two directions. On the upper split, there is a capacitor C followed by a 3.00 µF capacitor. On the lower split, there is a 6.00 µF capacitor. The two splits reconnect and are followed by a 20.0 µF capacitor, which is then followed by point b. (a) Find the equivalent capacitance between points a and b. µF(b) Calculate the charge on each capacitor, taking ΔVab = 16.0 V. 20.0 µF capacitor µC 6.00 µF capacitor µC 3.00 µF capacitor µC capacitor C µC

Two conductors having net charges of +14.0 µC and -14.0 µC have a potential difference of 14.0 V between them. (a) Determine the capacitance of the system. F (b) What is the potential difference between the two conductors if the charges on each are increased to +196.0 µC and -196.0 µC? V

Chapter 20 Solutions

FUND. OF PHYSICS (LL)-W/WILEY+NEXTGEN(2)

Ch. 20 - Point i in Fig. 20-19 represents the initial state...Ch. 20 - In lour experiments, blocks A and B, starting ill...Ch. 20 - A gas, confined to an insulated cylinder, is...Ch. 20 - An ideal monatomic gas at initial temperature T0...Ch. 20 - In four experiments, 2.5 mol of hydrogen gas...Ch. 20 - A box contains 100 atoms in a configuration that...Ch. 20 - Does the entropy per cycle increase, decrease, or...Ch. 20 - Three Carnot engines operate between temperature...Ch. 20 - An inventor claims to have invented four engines,...Ch. 20 - Does the entropy per cycle increase, decrease, or...

Ch. 20 - SSM Suppose 4.00 mol of an ideal gas undergoes a...Ch. 20 - Prob. 2P Ch. 20 - ILW A 2.50 mol sample of an ideal gas expands...Ch. 20 - Prob. 4P Ch. 20 - ILW Find a the energy absorbed as heat and b the...Ch. 20 - a What is the entropy change of a 12.0 g ice cube...Ch. 20 - ILW A 50.0 g block of copper whose temperature is...Ch. 20 - At very low temperatures, the molar specific heat...Ch. 20 - A 10 g ice cube at 10oC is placed in a lake whose...Ch. 20 - A 364 g block is put in contact with a thermal...Ch. 20 - SSM WWW In an experiment, 200 g of aluminum with a...Ch. 20 - A gas sample undergoes a reversible isothermal...Ch. 20 - In the irreversible process of Fig. 20-5, let the...Ch. 20 - Prob. 14P Ch. 20 - A mixture of 1773 g of water and 227 g of ice is...Ch. 20 - GO An 8.0 g ice cube at -10C is put into a Thermos...Ch. 20 - Prob. 17P Ch. 20 - GO A 2.0 mol sample of an ideal monatomic gas...Ch. 20 - Suppose 1.00 mol of a monatomic ideal gas is taken...Ch. 20 - Expand 1.00 mol of an monatomic gas initially at...Ch. 20 - GO Energy can be removed from water as heat at and...Ch. 20 - GO An insulated Thermos contains 130 g of water at...Ch. 20 - A Carnot engine whose low-temperature reservoir is...Ch. 20 - A Carnot engine absorbs 52 kJ as heat and exhausts...Ch. 20 - A Carnot engine has an efficiency of 22.0. It...Ch. 20 - In a hypothetical nuclear fusion reactor, the fuel...Ch. 20 - SSM WWW A Carnot engine operates between 235C and...Ch. 20 - In the first stage of a two-stage Carnot engine,...Ch. 20 - GO Figure 20-27 shows a reversible cycle through...Ch. 20 - A 500 W Carnot engine operates between...Ch. 20 - The efficiency of a particular car engine is 25...Ch. 20 - GO A Carnot engine is set up to produce a certain...Ch. 20 - SSM ILW Figure 20-29 shows a reversible cycle...Ch. 20 - GO An ideal gas 1.0 mol is the working substance...Ch. 20 - The cycle in Fig. 20-31 represents the operation...Ch. 20 - How much work must be done by a Carnot...Ch. 20 - SSM A heat pump is used to heal a building, The...Ch. 20 - The electric motor of a heat pump transfers energy...Ch. 20 - SSM A Carnot air conditioner lakes energy from the...Ch. 20 - To make ice, a freezer that is a reverse Carnot...Ch. 20 - ILW An air conditioner operating between 93F and...Ch. 20 - The motor in a refrigerator has a power of 200 W....Ch. 20 - GO Figure 20-32 represents a Carnot engine that...Ch. 20 - a During each cycle, a Carnot engine absorbs 750 J...Ch. 20 - Prob. 45P Ch. 20 - A box contains N identical gas molecules equally...Ch. 20 - SSM WWW A box contains N gas molecules, Consider...Ch. 20 - Four particles are in the insulated box of Fig....Ch. 20 - A cylindrical copper rod of length 1.50 m and...Ch. 20 - Suppose 0.550 mol of an ideal gas is isothermally...Ch. 20 - Prob. 51P Ch. 20 - Suppose 1.0 mol of a monatomic ideal gas initially...Ch. 20 - GO Suppose that a deep shaft were drilled in...Ch. 20 - What is the entropy change for 3.20 mol of an...Ch. 20 - A 600 g lump of copper at 80.0C is placed in 70.0...Ch. 20 - Figure 20-33 gives the force magnitude F versus...Ch. 20 - The temperature of 1.00 mol of a monatomic ideal...Ch. 20 - Repeat Problem 57, with the pressure now kept...Ch. 20 - Prob. 59P Ch. 20 - A three-step cycle is undergone by 3.4 mol of an...Ch. 20 - An inventor has built an engine X and claims that...Ch. 20 - Suppose 2.00 mol of a diatomic gas is taken...Ch. 20 - A three-step cycle is undergone reversibly by 4.00...Ch. 20 - a A Carnot engine operates between a hot reservoir...Ch. 20 - A 2.00 mol diatomic gas initially at 300 K...Ch. 20 - An ideal refrigerator does 150 J of work to remove...Ch. 20 - Suppose that 260 J is conducted from a...Ch. 20 - An apparatus that liquefies helium is in a room...Ch. 20 - GO A brass rod is in thermal contact with a...Ch. 20 - A 45.0 g block of tungsten at 30.0C and a 25.0 g...Ch. 20 - Prob. 71P Ch. 20 - Calculate the efficiency of a fossil-fuel power...Ch. 20 - SSM A Carnot refrigerator extracts 35.0 kJ as heat...Ch. 20 - A Carnot engine whose high-temperature reservoir...Ch. 20 - SSM System A of three particles and system B of...Ch. 20 - Figure 20-36 shows a Carnot cycle on a T-S...Ch. 20 - Find the relation between the efficiency of a...Ch. 20 - A Carnot engine has a power of 500 W. It operates...Ch. 20 - In a real refrigerator, the low-temperature coils...

Knowledge Booster

To find The sample’s entropy change if its temperature is increased to 40 ℃ .

To find The sample’s entropy change if its temperature is increased to 40℃.

Want to see the full answer?

Chapter 20 Solutions

To find

The sample’s entropy change if its temperature is increased to 40℃.