DP Physics (first assessment 2025)

Question 19M.2.HL.TZ1.a

Date	May 2019	Marks available	[Maximum mark: 2]	Reference code	19M.2.HL.TZ1.a
Level	HL	Paper	2	Time zone	TZ1
Command term	Show that	Question number	a	Adapted from	N/A

[Maximum mark: 2]

19M.2.HL.TZ1.a

Show that during an adiabatic expansion of an ideal monatomic gas the temperature $T$ and volume $V$ are given by

$T{V^{\frac{2}{3}}}$ = constant

[2]

Markscheme

substitution of $P = \frac{{nRT}}{V}$ in ${P_X}V_X^{\frac{5}{3}} = {P_Y}V_Y^{\frac{5}{3}}$ ✔

manipulation to get result ✔

Examiners report

The algebraic manipulation required for this question was well mastered by only the better-prepared candidates. Many candidates tried to find the required formula via randomly selected equations from the data booklet.

Syllabus sections

B. The particulate nature of matter » B.4 Thermodynamics

Question 19M.2.HL.TZ1.a

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