If \[{{L}_{1}}\] and \[{{L}_{2}}\] are the length of the gas column before and after expansion respectively, then \[\frac{{{T}_{1}}}{{{T}_{2}}}\] is given by, question_answer38) One mole of an ideal gas is taken from state A to state B by three different processes, (i) ACB (ii) ADB (iii) AEB as shown in the P-V diagram. question_answer31) The relation between U, P and V for an ideal gas in an adiabatic process is given by relation \[U=\text{ }a+bPV.\] Find the value of adiabatic exponent \[\left( \gamma \right)\]of this gas. | CREATE AN ACCOUNT Create Tests & Flashcards. Ncert Solutions Browse videos, articles, and exercises by topic. question_answer46) Which of the following graphs correctly represents the variation of \[\beta =\frac{dV/dP}{V}\] with P for an ideal gas at constant temperature? The volume of 1 g of steam is 1671 cc and the latent heat of evaporation is 540 cal. The final volume of the gas is 2 liters. Notes | The work done by the gas is \[{{W}_{1}}\] if the process is purely isothermal, \[{{W}_{2}}\] if purely isobaric and \[{{W}_{3}}\] if purely adiabatic. [Latent heat of vaporization of steam = 540 cal, question_answer61) If an air conditioner is put in the middle of a room and started working. Videos An ideal gas is subjected to cyclic process involving four thermodynamic states, the amounts of heat (Q) and work (W) involved in each of these states \[{{Q}_{1}}=6000J;{{Q}_{2}}=-5500J;{{Q}_{3}}=-3000J\] \[{{Q}_{4}}=+\,3500J\] \[{{W}_{1}}=2500J;{{W}_{2}}=-1000J;{{W}_{3}}=-1200J\] \[{{W}_{4}}=xJ\] The ratio of the net work done by the gas to the total heat absorbed by the gas is \[\eta \]. Then it is heated at constant volume by supplying 150 J of energy. The change in internal energy due to evaporation of 1 gm of water is. Choose the correct statement(s). question_answer21) Which of the following holds good for an isochoric process? The temperature of the gas is (use ln 9 = 2 and\[R=\frac{25}{3}J/mol-K\]), question_answer77) A gas is expanded from volume \[{{V}_{0}}\] to \[2{{V}_{0}}\] under three different processes. Refund Policy, You need to login to perform this action.You will be redirected in Which of the following graphs correctly represents the variation of \[\beta =\frac{dV/dP}{V}\] with P for an ideal gas at constant temperature? The change in the internal energy, Δ U , of a system relates to energy, Q , in the form of heat, added to the system, and in the form of mechanical work, W , that leaves, or is done by the system. question_answer25) Choose the incorrect statement related to an isobaric process. What will be the final pressure if an ideal gas in a cylinder is compressed adiabatically to \[\frac{1}{3}rd\] of its volume? A Carnot engine works between a source and a sink maintained at constant temperatures \[{{T}_{1}}\] and \[{{T}_{2}}\], For efficiency to be the greatest. Solved Papers Refund Policy, You need to login to perform this action.You will be redirected in Current Affairs The volume of 1 g of steam is 1671 cc and the latent heat of evaporation is 540 cal. Thermodynamics is the branch of physics that deals with the relationships between heat and other forms of energy. The work done during isobaric compression is, 1 gm of water at a pressure of \[1.01\times {{10}^{5}}\] Pa is converted into steam without any change of temperature. If the gas is taken from state A to B via process in which the net heat absorbed by the system is 12 cal, then the net work done by the system is \[\left( 1\text{ }cal=4.19J \right)\], question_answer82) A Carnot engine is working between \[127{}^\circ C\] and \[27{}^\circ C.~\]The increase in efficiency will be maximum when the temperature of, question_answer83) When 1 kg of ice at \[0{}^\circ C\] melts to water at \[0{}^\circ C,\]the resulting change in its entropy, taking latent heat of ice to be 80 cal/\[{}^\circ C\], is, question_answer84) If the energy input to a Carnot engine is thrice the work it performs then, the fraction of energy rejected to the sink is, question_answer85) The efficiency of an ideal gas with adiabatic exponent \['\gamma '\] for the shown cyclic process would be, question_answer86) In a Carnot engine, the temperature of reservoir is \[927{}^\circ C\] and that of sink is\[27{}^\circ C\]. During another process it does 25J of work and its temperature decreases by 5K. In a thermodynamic process, pressure of a fixed mass of gas is changed in such a manner that the gas molecules gives out 30 joules of heat and 10 J of work is done on the gas. Physics the study of matter, motion, energy, and force. Its volume is 0.50 ml and it contains hydrogen at a pressure of 4.5 atm. The glass tube is broken so that hydrogen also fills the cylinder. The volume changes from \[2\times {{10}^{-3}}{{m}^{3}}\] to \[3.34{{m}^{3}}.\]The work done by the system is about. Here, heat, temperature, specific heat, and latent heat are concepts which are studied. If W is positive, the system has lost energy from doing work on its surroundings.. As written the equations have a problem … Starting with the same initial conditions, an ideal gas expands from volume \[{{V}_{1}}\] to \[{{V}_{2}}\] in three different ways. | Molar specific heat of the gas at constant volume is 3R/2. 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