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Question 18M.3.SL.TZ2.a

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.3.SL.TZ2.a
Level SL Paper 3 Time zone TZ2
Command term Show that Question number a Adapted from N/A
a.
[Maximum mark: 2]
18M.3.SL.TZ2.a

A cylinder is fitted with a piston. A fixed mass of an ideal gas fills the space above the piston.

M18/4/PHYSI/SP3/ENG/TZ2/07._01

The gas expands isobarically. The following data are available.

Amount of gas = 243  mol Initial volume of gas = 47.1   m 3 Initial temperature of gas = − 12.0  °C Final temperature of gas = + 19.0  °C Initial pressure of gas = 11.2  kPa

Show that the final volume of the gas is about 53 m3.

[2]

Markscheme

ALTERNATIVE 1

«Using  V 1 T 1 = V 2 T 2 »

V2 =  47.1 × ( 273 + 19 ) ( 273 − 12 )

V2 = 52.7 «m3»

 

ALTERNATIVE 2

«Using PV = nRT»

V =  243 × 8.31 × ( 273 + 19 ) 11.2 × 10 3

V = 52.6 «m3»

 

[2 marks]

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