4- An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa.If the volume increases from 1.00 m' to 3.00 m' and 12.5 kJ is transferred tothe gas by heat, what are(a) the change in its internal energy and(b) its final temperature?

The initial temperature T1=300 K The isobaric expansion P = 2.50 k Pa = 2.50×103 Pa Initial volume…

4- An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m² to 3.00 m' and 12.5 kJ is transferred to gas by heat, what are (a) the change in its internal energy and (b) its final temperature? the

4- An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m² to 3.00 m' and 12.5 kJ is transferred to gas by heat, what are (a) the change in its internal energy and (b) its final temperature? the

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 76P: (a) An ideal gas expands adiabatically from a volume of 2.0103 m3 to 2.5103 m3. If the initial...

See similar textbooks

Related questions

Q: 19 Imagine that we add 295 J of thermal energy to 20 liter (L) (20000 cm3) of air initially at room…

A: (19) Given: The heat added is Q=295 J, The volume of air in the room V1=V2=V=20000 cm3. For air as…

Q: 5.00 moles of Argon, a monatomic ideal gas, occupies a volume of 15.0 L at a pressure equal to 1.4 x…

Q: 13. How much work is necessary to compress an ideal diatomic gas adiabatically from a pressure of 1…

A: The objective of this question is to calculate the work done in compressing an ideal diatomic gas…

Q: 7. How much work is required to compress 5 mol of air at 20°C and 1 atm to one-tenth of the original…

Q: 1. The gas cylinder and piston are covered with heavy insulation to prevent thermal energy from…

A: Given data: The force applied is F. The change in displacement is ∆x.

Q: 1. What is the change in internal energy of a system when a total of 150.00 J of heat transfer…

A: The problem is based upon the concept of thermodynamics. Here we have to find out the total internal…

Q: A car tire contains 0.0360 m of air at a pressure of 2.70 x 10 N/m² (about 39 psi). How much more…

A: The absolute pressure is P1=2.70×105 N/m2. The volume of air is V1=0.0360 m3. The atmospheric…

Concept explainers

Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

Question

4- An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa.
If the volume increases from 1.00 m' to 3.00 m' 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?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1 The Given data

VIEW

Step 2 The change in its internal energy

VIEW

Step 3 Final temperature

VIEW

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

(a) An ideal gas expands adiabatically from a volume of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas? Use =5/3 for the gas. (b) In an isothermal process, an ideal gas expands from a of 2.0103 m3 to 2.5103 m3. If the initial pressure and temperature were 5.0105 Pa and 300 K, respectively, what are the final pressure and temperature of the gas?
If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases, (d) The internal energy of the gas remains constant, (e) None of those statements is true.
Suppose 26.0 g of neon gas are stored in a tank at a temperature of 152C. (a) What is the temperature of the gas on the Kelvin scale? (See Section 10.2.) (b) How many moles of gas are in the tank? (See Section 10.4.) (c) What is the internal energy of the gas? (See Section 10.5.)
In a quasi-static isobaric expansion. 500 J of work are done by the gas. If the gas pressure is 0.80 atm, what is the fractional increase in the volume of the gas, assuming it was originally at 20.0 L?
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?
A certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always starts at pressure 1.00 105 Pa and temperature 300 K. For each of the following processes, determine (a) the final pressure, (b) the final volume, (c) the final temperature, (d) the change in internal energy of the gas, (e) the energy added to the gas by heat, and (f) the work done on the gas. (i) The gas is heated at constant pressure to 400 K. (ii) The gas is heated at constant volume to 400 K. (iii) The gas is compressed at constant temperature to 1.20 105 Pa. (iv) The gas is compressed adiabatically to 1.20 105 Pa.
A gas in a cylindrical closed container is adiabatically and quasi-statically expanded from a state A (3 MPa, 2 L) to a state B with volume of 6 L along the path 1.8pV= constant. (a) Plot the path in the pV plane. (b) Find the amount of work done by the gas and the change in the internal energy of the gas during the process.
Review. A house has well-insulated walls. It contains a volume of 100 m3 of air at 300 K. (a) Calculate the energy required to increase the temperature of this diatomic ideal gas by 1.00C. (b) What If? If all this energy could be used to lift an object of mass m through a height of 2.00 m, what is the value of m?
One way to cool a gas is to let it expand. When a certain gas under a pressure of 5.00 106 Ha at 25.0C is allowed to expand to 3.00 times its original volume, its final pressure is 1.07 106 Pa. (a) What is the initial temperature of the gas in Kelvin? (b) What is the final temperature of the system? (See Section 10.4.)
(a) People often think of humid air as "heavy." Compare the densities of air with 0% relative humidity and 100% relative humidity when both are at 1 atm and 30 . Assume that the dry air is an ideal gas composed of molecules with a molar mass of 29.0 g/mol and the moist air is the same gas mixed with water vapor. (b) As discussed in the chapter on the applications of Newton's laws, the air resistance felt by projectiles such as baseballs and golf balls is approximately FD=CpAv2/2 , where p is the mass density of the air, A is the cross-sectional area of the projectile, and C is the projectile's drag coefficient. For a fixed air pressure, describe qualitatively how the range of a projectile changes with the relative humidity. (c) When a thunderstorm is coming, usually the humidity is high and the air pressure is low. Do those conditions give an advantage or disadvantage to home-run hitters?
(a) How much heat must be added to raise the temperature of 1.5 mol of air 25.0 to 33.0 at constant volume? Assume air is completely diatomic. (b) Repeat the problem for the same number of moles of xenon, Xe.
In cold climates, including the northern United States, a house can be built with very large windows facing south to take advantage of solar heating. Sunlight shining in during the daytime is absorbed by the floor, interior walls, and objects in the room, raising their temperature to 38.0C. If the house is well insulated, you may model it as losing energy by heat steadily at the rate 6 000 W on a day in April when the average exterior temperature is 4C and when the conventional heating system is not used at all. During the period between 5:00 p.m. and 7:00 a.m., the temperature of the house drops and a sufficiently large "thermal mass" is required to keep it from dropping too far. The thermal mass can be a large quantity of stone (with specific heat 850 J/kg C) in the floor and the interior walls exposed to sunlight. What mass of stone is required if the temperature is not to drop below 18.0C overnight?