Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Kinetic Theory of Gases
0 votes

A student conducted an experiment and found that an ideal gas obeys the condition $\large\frac{p^2}{\rho} = $ constant. Initially the gas is at a temperature $T$, pressure $p$ and density $\rho$. The gas expands such that the density changes to $\rho/2$, which of the following is true?

$(A): $ the pressure of the gas changes to $\sqrt (2p)$ $(B): $ the pressure of the gas is unchanged $(C): $ the graph of the above process on the P-T graph is a parabola $(D): $ the graph of the above process on the P-T graph is a hyperbola
Can you answer this question?

1 Answer

0 votes
Since $\rho = \large\frac{PM}{RT}$ (where $M$ is the molecular mass of the gas),
Since it's given that $\large\frac{p^2}{\rho} = $ constant, it follows that $\large\frac{p^2}{\frac{PM}{RT}} =$ constant.
$\Rightarrow PT = $ constant.
$\Rightarrow$ the graph is a hyperbola.
answered Jan 22, 2014 by balaji.thirumalai

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App