मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

A cylinder containing one gram molecule of the gas was compressed adiabatically until its temperature rose from 27°C to 97°C. Calculate the work done and heat produced in the gas (𝛾 = 1.5).

Advertisements
Advertisements

प्रश्न

A cylinder containing one gram molecule of the gas was compressed adiabatically until its temperature rose from 27°C to 97°C. Calculate the work done and heat produced in the gas (𝛾 = 1.5).

बेरीज
Advertisements

उत्तर

T1 = 27° C = 273 + 27 = 300 K

When gas is compressed adiabatically, work done on the gas is given by

`W = R/(1-γ) (T_2 - T_1) = (8.3xx(370-300))/(1-1.5)`

or W = −11.62 × (102 J)

Heat produced,

`H = W/J = (11.62xx10^2)/4.2`

= 276.7 cal

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Thermodynamics - Short Answer II

संबंधित प्रश्‍न

Explain why Two bodies at different temperatures T1 and T2, if brought in thermal contact, do not necessarily settle to the mean temperature (T1 + T2)/2.


In changing the state of a gas adiabatically from an equilibrium state 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 to 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)


When we rub our hands they become warm. Have we supplied heat to the hands?


A closed bottle contains some liquid. the bottle is shaken vigorously for 5 minutes. It is found that the temperature of the liquid is increased. Is heat transferred to the liquid? Is work done on the liquid? Neglect expansion on heating.


Refer to figure. Let ∆U1 and ∆U2 be the changes in internal energy of the system in the process A and B. Then _____________ .


Consider the process on a system shown in figure. During the process, the work done by the system ______________ .


Consider two processes on a system as shown in figure.

The volumes in the initial states are the same in the two processes and the volumes in the final states are also the same. Let ∆W1 and ∆W2 be the work done by the system in the processes A and B respectively.


Figure shows three paths through which a gas can be taken from the state A to the state B. Calculate the work done by the gas in each of the three paths.


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 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?

Which of the following is correct, when the energy is transferred to a system from its environment?


Which of the following system freely allows the exchange of energy and matter with its environment? 


What is the energy associated with the random, disordered motion of the molecules of a system called as?


Explain given cases related to energy transfer between the system and surrounding –

  1. energy transferred (Q) > 0
  2. energy transferred (Q) < 0
  3. energy transferred (Q) = 0 

The internal energy of a system is ______


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 ____________.


When 1 g of water at 0° C and 1 x 105 N/m2 pressure is converted into ice of volume 1.082 cm3, the external work done will be ____________.


In insulated systems, the amount of external work done by the gas is proportional to: 


An expansion process on a diatomic ideal gas (Cv = 5/2 R), has a linear path between the initial and final coordinates on a pV diagram. The coordinates of the initial state are: the pressure is 300 kPa, the volume is 0.08 m3 and the temperature is 390 K. The final pressure is 90 kPa and the final temperature s 320 K. The change in the internal energy of the gas, in SI units, is closest to:


A cyclic process ABCA is shown in the V-T diagram. A process on the P-V diagram is ______.

 


If a gas is compressed adiabatically:


The molar specific heat of He at constant volume is 12.47 J/mol.K. Two moles of He are heated at constant pressure. So the rise in temperature is 10 K. Find the increase in internal energy of the gas.


A steam engine delivers 4.8 x 108 Jof work per minute and services 1.2 x 109 J of heat per minute from its boiler. What is the percentage efficiency of the engine?


What is heat?


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×