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

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

(a.i)

Show that at C the pressure is 1.00 × 106 Pa.

[2]

Markscheme

ALTERNATIVE 1:

P c = P B = P A V A V B ✔

=  2.8 × 10 6 × 1 × 10 − 4 2.8 × 10 − 4 «= 1.00 × 106 Pa» ✔

 

ALTERNATIVE 2:

2.8 × 10 6 × 1.00 5 3 = P c × 1.85 5 3  ✔

P c = 2.8 × 10 6 × 1.00 5 3 1.85 5 3  «= 1.00 × 106 Pa» ✔

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