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Question 18N.3.SL.TZ0.7c.i

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Date November 2018 Marks available [Maximum mark: 2] Reference code 18N.3.SL.TZ0.7c.i
Level SL Paper 3 Time zone TZ0
Command term Calculate Question number c.i Adapted from N/A
c.i.
[Maximum mark: 2]
18N.3.SL.TZ0.7c.i

The pV diagram of a heat engine using an ideal gas consists of an isothermal expansion A → B, an isobaric compression B → C and an adiabatic compression C → A.

The following data are available:

Temperature at A   = 385 K

Pressure at A         = 2.80 × 106 Pa

Volume at A           = 1.00 × 10–4 m3

Volume at B           = 2.80 × 10–4 m3

Volume at C           = 1.85 × 10–4 m3

(c.i)

The work done by the gas from A → B is 288 J. Calculate the efficiency of the cycle.

[2]

Markscheme

net work is 288 −238 = 50 «J» ✔

efficiency = « 288 − 238 288  =» 0.17 ✔

 

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