KöMaL - Középiskolai Matematikai és Fizikai Lapok
 English
Információ
A lap
Pontverseny
Cikkek
Hírek
Fórum

Rendelje meg a KöMaL-t!

KöMaL Füzetek 1: Tálalási javaslatok matematika felvételire

VersenyVizsga portál

Kísérletek.hu

Matematika oktatási portál

P. 4581. A frictionlessly moveable piston of mass m confines n=0.25 moles of diatomic gas at a temperature of T1=300 K in a vertical cylinder, closed at its bottom, of cross section A=2 dm2. The piston is at a distance of h1=3 dm from the bottom and the ambient pressure is p0=105 Pa.

The gas is heated in two steps. The first step lasts until the piston reaches the stoppers, in this stage the piston is h2=5 dm from the bottom of the cylinder. The added heat in the second step, which begins when the piston reaches the stopper, is \frac{10}{7} times as much as the added heat in the first step.

a) Determine the mass m of the piston.

b) What is the total force exerted by the stoppers on the piston at the end of the second heating step?

c) Plot the pressure of the gas as a function of the absolute temperature.

(5 points)

Deadline expired on 10 December 2013.


Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldásvázlat. \(\displaystyle a)\) A dugattyú tömege: 7,9 kg.

\(\displaystyle b)\) \(\displaystyle F=1{,}66~\)kN.


Statistics on problem P. 4581.
114 students sent a solution.
5 points:58 students.
4 points:34 students.
3 points:14 students.
2 points:2 students.
1 point:3 students.
Unfair, not evaluated:3 solutions.


  • Problems in Physics of KöMaL, November 2013

  • Támogatóink:   Ericsson   Cognex   Emberi Erőforrás Támogatáskezelő   Emberi Erőforrások Minisztériuma   Nemzeti Tehetség Program    
    MTA Energiatudományi Kutatóközpont   MTA Wigner Fizikai Kutatóközpont     Nemzeti
Kulturális Alap   ELTE   Morgan Stanley