English

Explain the change in internal energy of a thermodynamic system (the gas) by heating it.

Advertisements
Advertisements

Question

Explain the change in internal energy of a thermodynamic system (the gas) by heating it.

Explain
Advertisements

Solution

Consider a gas filled in a cylinder fitted with a massless, movable, and frictionless piston as shown in the figure.

Let Ts be the temperature of gas (system),

TE be temperature of environment.

Initially, the cylinder is heated using a burner, as illustrated in the picture. At this level, TE exceeds Ts. The temperature difference between the source of heat and the system causes energy to flow towards the gas in the cylinder. This increases the gas's internal energy. When the environment is cooler than the gas, Ts > TE, resulting in energy transfer from the gas to the surroundings.

The gas expands as a result of the piston being forced out during this procedure. The gas does a certain amount of work. The gas cools, and some of its energy is lost. This describes how exerting effort can alter a gas's intrinsic energy.

shaalaa.com
  Is there an error in this question or solution?
2023-2024 (March) Official

RELATED QUESTIONS

In changing the state of a gas adiabatically from an equilibrium state A to another equilibrium state B, an amount of work equal to 22.3 J is done on the system. If the gas is taken from state A to B via a process in which the net heat absorbed by the system is 9.35 cal, how much is the net work done by the system in the latter case? (Take 1 cal = 4.19 J)


Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following:

Do the intermediate states of the system (before settling to the final equilibrium state) lie on its P-V-T surface?


A cylinder containing a gas is lifted from the first floor to the second floor. What is the amount of work done on the gas? What is the amount of work done by the gas? Is the internal energy of the gas increased? Is the temperature of the gas increased?


A force F is applied on a block of mass M. The block is displaced through a distance d in the direction of the force. What is the work done by the force on the block? Does the internal energy change because of this work?


The outer surface of a cylinder containing a gas is rubbed vigorously by a polishing machine. The cylinder and its gas become warm. Is the energy transferred to the gas heat or work?


When a tyre bursts, the air coming out is cooler than the surrounding air. Explain.


Figure shows two processes A and B on a system. Let ∆Q1 and ∆Q2 be the heat given to the system in processes A and B respectively. Then ____________ .


An ideal gas goes from the state i to the state f as shown in figure. The work done by the gas during the process ______________ .


A 100 kg lock is started with a speed of 2.0 m s−1 on a long, rough belt kept fixed in a horizontal position. The coefficient of kinetic friction between the block and the belt is 0.20. (a) Calculate the change in the internal energy of the block-belt system as the block comes to a stop on the belt. (b) Consider the situation from a frame of reference moving at 2.0 m s−1 along the initial velocity of the block. As seen from this frame, the block is gently put on a moving belt and in due time the block starts moving with the belt at 2.0 m s−1. calculate the increase in the kinetic energy of the block as it stops slipping  past the belt. (c) Find the work done in this frame by the external force holding the belt.


A gas is taken through a cyclic process ABCA as shown in figure. If 2.4 cal of heat is given in the process, what is the value of J ?


A gas is taken along the path AB as shown in figure. If 70 cal of heat is extracted from the gas in the process, calculate the change in the internal energy of the system.


A gas is initially at a pressure of 100 kPa and its volume is 2.0 m3. Its pressure is kept constant and the volume is changed from 2.0 m3 to 2.5 m3. Its Volume is now kept constant and the pressure is increased from 100 kPa to 200 kPa. The gas is brought back to its initial state, the pressure varying linearly with its volume. (a) Whether the heat is supplied to or extracted from the gas in the complete cycle? (b) How much heat was supplied or extracted?


A mixture of fuel and oxygen is burned in a constant-volume chamber surrounded by a water bath. It was noticed that the temperature of water is increased during the process. Treating the mixture of fuel and oxygen as the system,

  1. Has heat been transferred?
  2. Has work been done?
  3. What is the sign of ∆U?

A system releases 130 kJ of heat while 109 kJ of work is done on the system. Calculate the change in internal energy.


What is the internal energy of the system, when the amount of heat Q is added to the system and the system does not do any work during the process?


Explain the different ways through which the internal energy of the system can be changed. 


derive the relation between the change in internal energy (∆U), work is done (W), and heat (Q). 


A thermodynamic system goes from states (i) P, V to 2P, V  (ii) P, V to P, 2V. The work done in the two cases is ______.


8 m3 of a gas is heated at the pressure 105 N/m2 until its volume increases by 10%. Then, the external work done by the gas is ____________.


Two samples A and B, of a gas at the same initial temperature and pressure are compressed from volume V to V/2; A isothermally and B adiabatically. The final pressure of A will be ______.


Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following:

What is the change in the temperature of the gas?


n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes:

A `→` B: Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 = 2V1 and pressure changes from P1 to P2.

B `→` C: Isobaric compression at pressure P2 to initial volume V1.

C `→` A: Isochoric change leading to change of pressure from P2 to P1.

Total workdone in the complete cycle ABCA is ______.


In thermodynamics, heat and work are ______.


A gas is compressed at a constant pressure of 50 N/m2 from a volume of 10 m3 to a volume of 4 m3. Energy of 100 J is then added to the gas by heating. Its internal energy is ______.


What is heat?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×