Answered: A system consists of 3.5 mol of an…

A system consists of 3.5 mol of an ideal monatomic gas at 315 K.How much heat must be added to the system to double its internalenergy at (a) constant pressure or (b) constant volume?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 12OQ: If a gas is compressed isothermally, which of the following statements is true? (a) Energy is...

See similar textbooks

Related questions

Q: An ideal monatomic gas contracts in an isobaric process from 1.05 m³ to 0.540 m3 at a constant…

Q: A sample of ideal monatomic gas is cooled by 50.0 C° at constant volume by removing 831 J of energy…

Q: An ideal monatomic gas expands isothermally from 0.520 m3 to 1.25 m at a constant temperature of 620…

A: Given data: The initial volume is V1=0.52 m3. The final volume is V2=1.25 m3. Temperature is T=620…

Q: 3 moles of an ideal monatomic gas, initially at 300o K, are expanded from .2 m3 to .5 m3 using an…

A: Given: Moles in gas = 3. Initial temperature of gas (Ti) = 300 K Initial volume of gas (Vi) = 0.2…

Q: An ideal monatomic gas initially has a temperature of 330 K and a pressure of 6.00 atm. It is to…

Q: Air inside a chamber is heated from an initial volume and pressure of 1.2 ft3 and 1550 psia (Ib per…

A: The initial pressure is P1=1550 psia The initial volume is V1=1.2 ft3 The final volume is V2=8.3 ft3…

Q: How much work is done on the steam when 1.00 mol of water at 100∘Cboils and becomes 1 mol of steam…

A: When ever the phase of a substance changes the amount of heat required to change the phase is known…

Q: An ideal diatomic gas expands adiabatically from 0.750 m3 to 1.50 m3. If the initial pressure and…

A: (a)According to ideal gas law, the number of moles in the gas,Substitute the values,

Q: A closed gaseous system undergoes a reversible process in which 30 kJ of heat is rejected a9and the…

Q: A mole of a diatomic gas at 0.1 m^3 is expanded isothermally at 298 Kelvins to 1.0 m^3 bar against a…

A: We have a diatomic gas at initial volume V1=0.1 m3 expanded isothermally to volume V2=1 m3 at…

Q: A cylinder fitted with a piston which can move without friction contains 0.05 moles of a monatomic…

A: i) 31.125 J ii) 20.75 J iii) 51.875 J

Q: how to answer part b

A: Write the expression for first law of thermodynamics.

Q: A diatomic ideal gas reversibly follows the process shown in fig. starting from state A at a…

Q: An ideal monatomic gas contracts in an isobaric process from 1.25 m3 to 0.500 m3 at a constant…

A: Since you have uploaded a question with multiple sub-parts, we will solve first three sub-parts (a),…

Q: 260 J of work is done while adiabatically compressing 0.28 mole of a monatomic ideal gas. By how…

A: Given: The work done is 260 J. The amount of the gas is 0.28 moles. The process is adiabatic.

Q: A system containing 3.0 moles of Helium (a monatomic gas) at 70K is compressed adiabatically until…

A: number of moles = 3 initial temperature = 70 k final temperature = 180 k

Q: how much work is required to compress 15.00 mol of air at 20.0 degrees celsius and 1.00 atm to 1/10…

A: number of moles = 15original temperature = 20C = 293 K original pressure = 1 atm original volume = V…

Q: Does the temperature of an ideal gas increase, decrease, or stay the same during (a) an isothermal…

Q: An automobile wheel contains air with a pressure of 3x10 Pa at 25 C. The sipop cover was removed and…

A: The Poisson’s constant and specific heat of gas at constant pressure can be determined using the…

Q: When 20.9 J was added as heat to a particular ideal gas, the volume of the gas changed from 50.0 cm3…

Q: A cylinder which is in a horizontal position contains an unknown noble gas at 44200 Pa and is sealed…

A: Given, Pressure of noble gas P = 44200 Pa movement of piston x = 0.150 m Remove of heat Q = 17700 J…

Q: A monatomic ideal gas in a rigid container is heated from 223 K to 303 K by adding 9040 J of heat.…

A: Given: Ti=223 K Tf=303 K Q=9040J To find: To determine the moles of gas are there in the…

Q: The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv,…

Q: You add 18220 J of heat into a non-deformable container filled with a monatomic gas, raising the…

Q: A 2.00-mol sample of helium gas initially at 300 K and 0.400 atm is compressed isothermally to 1.20…

A: Given: No. of moles n = 2.00 mol Temperature T = 300 K Initial pressure P = 0.4 atm or 0.4 × 105 bar…

Q: A quantity of a monatomic ideal gas undergoes a process in which both its pressure and volume are…

A: Given,

Q: An ideal monatomic gas expands isothermally from 0.500 m3 to 1.25 m3 at a constant temperature of…

A: Formula to calculate the work done on the gas is,

Q: An ideal monatomic gas expands isothermally from 0.500 m³ to 1.25 m³ at a constant tempera- ture of…

Q: What is the internal energy of 4 mol of an ideal monatomic gas at 200 K?

A: Given: Mole (n) = 4 Temperature (T) = 200 K CV for mono atomic gas = 3/2 Gas constant (R) =8.314…

Q: The figure shows the pV-diagram for an isothermal expansion of 1.50 mol of an ideal gas, at a…

A: SOlution: Given that n= 1.50 mol of an ideal gas T1 = 15.0 deg C (a) What is the change in internal…

Q: 0. 2.50 moles of an ideal monatomic gas are compressed from 315,000 Pa to 175,000 Pa at 0.0300 m.…

Q: In an isothermal process, one mole of an ideal monatomic gas at a temperature T is taken from an…

Q: 2.0 mol of ideal gas at STP experiences a two step phase change - it is first cooled isobarically to…

A: Given data: The number of moles is n=2 mol. The volume relation is Vf=12Vi. Here, Vf is the final…

Q: A 3-mole of a monatomic ideal gas undergoes an isothermal expansion at 450 K, as the volume…

A: Given Data: The number of moles is, n=3 moles The temperature is, T=450 K The initial volume is,…

Q: A gas at a pressure of 2.00 atm undergoes a quasistatic isobaric expansion from 3.00 to 5.00 L. How…

Q: An automobile wheel contains air with a pressure of 3x10^5 Pa at 25 C. The sipop cover was removed…

A: Initial pressure Initial temperature Final pressure Specific heat capacity at constant pressure

Q: In an isochoric process, the internal (thermal) energy of an ideal gas decreases by 50 J. How much…

A: Process : Isochoric (constant volume)Change in thermal (internal) energy = - 50 J Negative sign…

Q: In a quasi-static isobaric expansion, 500 J of work are done by the gas. The gas pressure is 0.80…

A: Given: The work done by the gas is 500 J. The internal energy is 80 J.

Q: The pressure P and volume V of an expanding gas are related by the formula PV = C, where b and C are…

A: Given Data: Pressure, P=14 kPa=14×103 Pa Volume, V=50 cm3 dVdt=70 cm3/min Constant b=1.7

Q: An automobile wheel contains air with a pressure of 3x105 Pa at 25°C. The valve cover was removed…

A: An automobile wheel contains air with a pressure of 3x105 Pa at 25°C. The valve cover was removed…

Q: When a quantity of monatomic ideal gas expands at a constant pressure of 4.00×10^4 Pa, the volume of…

Q: Suppose 4.00 mol of an ideal diatomic gas, with molecular rotation but not oscillation, experienced…

Question

A system consists of 3.5 mol of an ideal monatomic gas at 315 K.
How much heat must be added to the system to double its internal
energy at (a) constant pressure or (b) constant volume?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Part (a)

VIEW

Part (b)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?
What is the internal energy of 6.00 mol of an ideal monatomic gas at 200 ?
When 400 J of heat are slowly added to 10 mol of an ideal monatomic gas, its temperature rises by 10 . What is the work done on the gas?
One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?
A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.
As shown below, calculate the work done by the gas in the quasi-static processes represented by the paths (a) AB; (b) ADB; (c) ACB; and (d) ADCB. `
The insulated cylinder shown below is closed at both ends and contains an insulating piston that is flee to move on frictionless bearings. The piston divides the chamber into two compartments containing gases A and B. Originally, each compartment has a volume of 5.0102 m3 and contains a monatomic ideal gas at a temperature of and a pressure of 1.0 atm. (a) How many moles of gas are in each compartment? (b) Heat Q is slowly added to A so that it expands and B is compressed until the pressure of both gases is 3.0 atm. Use the fact that the compression of B is adiabatic to determine the final volume of both gases. (c) What are their final temperatures? (d) What is the value of Q?
A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68
An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?
One mole of an ideal gas does 3 000 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 25.0 L. Determine (a) the initial volume and (b) the temperature of the gas.
A car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?
An amount of n moles of a monatomic ideal gas in a conducting container with a movable piston is placed in a large thermal heat bath at temperature T1 and the gas is allowed to come to equilibrium. After the equilibrium is leached, the pressure on the piston is lowered so that the gas expands at constant temperature. The process is continued quasi-statically until the final pressure is 4/3 of the initial pressure p1 . (a) Find the change in the internal energy of the gas. (b) Find the work done by the gas. (c) Find the heat exchanged by the gas, and indicate, whether the gas takes in or gives up heat.