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Question 19M.2.HL.TZ2.10a

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Date May 2019 Marks available [Maximum mark: 2] Reference code 19M.2.HL.TZ2.10a
Level HL Paper 2 Time zone TZ2
Command term Show that Question number a Adapted from N/A
a.
[Maximum mark: 2]
19M.2.HL.TZ2.10a
(a)

Show that the work done on the gas for the isothermal process C→A is approximately 440 J.

[2]

Markscheme

evidence of work done equals area between AC and the Volume axis ✓

reasonable method to estimate area giving a value 425 to 450 J ✓

Answer 440 J is given, check for valid working.

Examples of acceptable methods for MP2:

- estimates 17 to18 small squares x 25 J per square = 425 to 450 J.
- 250 J for area below BC plus a triangle of dimensions 5 × 3, 3 × 5, or 4 × 4 small square edges giving 250 J + 187.5 J or 250 J + 200 J.

Accurate integration value is 438 J - if method seen award [2].

Examiners report

At SL, Correct answers were rare and very few candidates used the fact the work done was area under the curve, and even fewer could estimate this area. At HL, the question was better answered. Candidates used a range of methods to estimate the area including counting the squares, approximating the area using geometrical shapes and on a few occasions using integral calculus.