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How will you calculate work done on an ideal gas in a compression, when change in pressure is carried out in infinite steps? - Chemistry

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प्रश्न

How will you calculate work done on an ideal gas in a compression, when change in pressure is carried out in infinite steps?

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उत्तर

When a process can be reversed by bringing an extremely small change in it, we call it a reversible process. The pressure-volume graph can be used to calculate the work done. The pressure is not constant, and changes in infinitesimal amounts as compression happens from initial volume Vi to the final volume Vf. The below graph depicts the work done with the shaded area.

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Thermodynamics Applications - Work
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Thermodynamics - Multiple Choice Questions (Type - I) [पृष्ठ ७४]

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एनसीईआरटी एक्झांप्लर Chemistry [English] Class 11
पाठ 6 Thermodynamics
Multiple Choice Questions (Type - I) | Q 46 | पृष्ठ ७४

संबंधित प्रश्‍न

What will be the work done on an ideal gas enclosed in a cylinder, when it is compressed by a constant external pressure, pext in a single step as shown in figure. Explain graphically.


1.0 mol of a monoatomic ideal gas is expanded from state (1) to state (2) as shown in figure. Calculate the work done for the expansion of gas from state (1) to state (2) at 298 K.


An ideal gas is allowed to expand against a constant pressure of 2 bar from 10 L to 50 L in one step. Calculate the amount of work done by the gas. If the same expansion were carried out reversibly, will the work done be higher or lower than the earlier case? (Given that 1 L bar = 100 J)


Match the following :

Column I Column II
(i) Entropy of vapourisation (a) decreases
(ii) K for spontaneous process (b) is always positive
(iii) Crystalline solid state (c) lowest entropy
(iv) ∆U in adiabatic expansion of ideal gas (d) `(∆H_(vap))/T_b`

Graphically show the total work done in an expansion when the state of an ideal gas is changed reversibly and isothermally from \[\ce{(p_i, V_i)}\] to \[\ce{(p_f , V_f )}\]. With the help of a pV plot compare the work done in the above case with that carried out against a constant external pressure \[\ce{p_f}\].


Calculate the work involved when 1 mol of an ideal gas is compressed reversibly from 1.00 bar to 5.00 bar at a constant temperature of 300 K ______.


The net work done in the following cycle for one mol of an ideal gas will be ______ (in calorie), where in process BC, PT = constant. (R = 2 cal/mol-K).


1 mole of an ideal monoatomic gas initially at 1 atm and 300 K experiences a process by which pressure is doubled. The nature of the process is unspecified but 6. ΔU = 900 cal. The final volume will be ______ l.

[Given : R = 0.08 atm lit. I mol/K = 2 Cal/K/mol J]


Five moles of an ideal gas at 1 bar and 298 K is expanded into the vacuum to double the volume. The work done is ______.


An ideal gas expands in volume from 1 × 10−3 to 1 × 10−2 m3 at 300 K against a constant pressure of 1 × 105 Nm−2. The work done is ______.


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