Answered: Calculate the change in internal energy…

Science

Physics

Calculate the change in internal energy of 3.00 mol of helium gas when its temperature is increased by 2.00 K.

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 41P

See similar textbooks

Related questions

Q: Calculate the final pressure and temperature for the reversible adiabatic expansion of 1 mole of a…

Q: A car tire contains 0.0380 m3 of air at a pressure of 2.20×105 N/m2(about 32 psi). How much more…

A: The ideal gas law is given by, PV=nkT The internal energy is given by, U=52nkTU=52PV

Q: An ideal gas expands quasi-statically and isothermally from a state with pressure p and volume V to…

Q: A helium-filled toy balloon is having a gauge pressure of 0.200 atm and a volume of 10.0 L. How much…

A: Given,

Q: When 1.0 mol of oxygen (O2) gas is heated at constant pressure starting at 0 C, how much energy must…

Q: How much work is performed by a gas as it expands from 30L to 45L against a constant external…

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: A helium-filled toy balloon has a gauge pressure of 0.400 atm and a volume of 20.0 liters. How much…

A: Volume of Helium is 20.0 lit Gauge pressure is P1 = 0.400 atm = 0.400 x 101325 = 40530 Pa.

Q: A gas with a volume of 3. 58 x 10-3 m³ was placed inside a container with constant pressure of 2.58…

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: three moles of an ideal monatomic gas have a pressure of 3.0 atm and a temperature of 100 C. if the…

A: Given that, Temperature(T1)=100°C Temperature (T2)= 500°C…

Q: A rigid container that measures 3 ft3 is divided into two equal portions and separated by a thin…

A: The rigid container is divided into two equal portions.

Q: Calculate the amount of heat that is required to increase the temperature of 2.45 moles of an ideal…

A: GIVEN:- At a constant pressure Number of the mole =2.45 change in temperature is 22.0K Find:-…

Q: A helium-filled toy balloon has a gauge pressure of 0.250 atm and a volume of 8.0 liters. How much…

A: Absolute pressure is the sum of gauge pressure and atmospheric pressure. Then the absolute pressure…

Q: Calculate the work done by 1.10 mol of ideal gas that is kept at 291 K during an expansion from…

A: Since the temperature is kept constant, the process is isothermal. The equation for the work done in…

Q: An ideal gas expands against a constant external pressure of 2.0 atm from 20 L to 40 L and absorbs…

Q: If an ideal gas undergoes a process where the change in enthalpy (Ah) is 424 kJ/kg, and the change…

A: Given that:- Δh=424kJ/kgΔU=320kJ/kgCv=0.7452kJ/kg.KCp=?

Q: A car tire contains 0.0380 m3 of air at a pressure of 2.20×105 N/m2 (about 32 psi). How much more…

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 many moles of helium at temperature 300K and 1.00atm pressure are needed to make the internal…

Q: Three moles of gas initially at a pressure of 2.00 atm and a volume of 0.300 L has internal energy…

A: (a) For the path IAF, the work done on the gas is, Since the path IA is an isometric process, so…

Q: Three moles of hydrogen at NTP are allowed to expand adiabatically so that its temperature falls to…

A: Given information: Here, Ti is the initial temperature (which is the standard value of the…

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

Q: 3 moles of an ideal gas undergoes an isothermal expansion at constant temperature T = 290 K, its…

Q: A car tire contains 0.0380 m3 of air at a pressure of 2.20 × 105 N/m2 (about 32 psi). How much more…

A: Given data The volume of the tire is V=0.0380 m3 The initial pressure is P1=2.20×105 N/m2 The final…

Q: A sample of an ideal gas is in a vertical cylinder fitted with a piston. As 5.79 kJ of energy is…

A: When a reaction is conducted at constant pressure, the change in internal energy (U) is equal to the…

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: 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: A monatomic ideal gas expands from 1.00m3 to 2.50m3 at a constant pressure of 2.00×105 Pa. Find the…

Q: A mole of oxygen in a cylinder is heated at constant pressure of 5.5 x 105 Pa until the temperature…

A: Given data The number of moles of oxygen is n = 1 mole The constant pressure is P = 5.5 x 105 Pa The…

Q: What is the internal energy of 1 L of oxygen gas at room temperature?

A: We know,

Q: 16. Calculate the change internal energy of an ideal gas in J if the temperature is changed from…

Q: A mole of a monatomic ideal gas is heated until it reaches a temperature of 216 °C . If the change…

Q: What is the total internal energy of 2.00 moles of an ideal gas at 100 K?

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

Q: The piston is compressed with gas in two ways - once isothermal, the second adiabatic. In which case…

A: The final pressure is higher in adiabatic process.

Q: A monatomic gas is cooled from 300 K to 250 K at constant volume when 100 J of energy is removed…

A: The specific heat capacity at constant volume of monoatomic gas is 12.5 J/mol.K

Q: A car tire contains 0.0390 m3 of air at a pressure of 2.20×105 N/m2 (about 32 psi). How much more…

A: Given information: Here, P is the car’s tire pressure and Patm is the atmospheric pressure and V is…

Q: A sample of helium behaves as an ideal gas as it is heated at constant pressure from 273 K to 386 K.…

Q: A car tire contains 0.0380 m3 of air at a pressure of 2.20 × 105 Pa (about 32 psi). How much more…

Q: Five moles of gas initially at a pressure of 2.00 atm and a volume of 0.300 L has internal energy…

A: The work done by the system on a path in the PV- diagram is the value of the area under the PV…

Q: A container having a volume of 5 m3 holds 8 moles of helium gas at 100°C. If the helium behaves like…

Q: Three moles of neon expand isothermally from 0.122 m3 to 0.261 m3 while 4.85 × 103 J of heat flows…

A: No. of moles = n = 3 Initial Volume = Vi = 0.122 m3 Final Volume = Vf = 0.261 m3 Heat = ∆Q = 4.85 ×…

Q: Suppose an ideal diatomic gas expands adiabatically from an initial volume of 0.500 m3 to a final…

A: is a process in which heat and mass aren't exchange with the surrounding.

Question

Calculate the change in internal energy of 3.00 mol of helium gas when its temperature is increased by 2.00 K.

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

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

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 ?
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)?
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 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.
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 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.
For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?
An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 8 000 g and an area of 5.00 cm2 and is free to slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of 0.200 mol of the gas is raised from 20.0C to 300C?
An aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)
A monatomic ideal gas undergoes a quasi-static adiabatic expansion in which its volume is doubled. How is the pressure of the gas changed?
Consider 0.40 mol of dilute carbon dioxide at a pressure of 0.50 atm and a volume of 50 L. What is the internal energy of the gas?