# Temperature and heat-thermal properties of matter

## Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
Question

# In an adiabatic process, the pressure of a monoatomic ideal gas increases by 0.5%. The volume will decrease by___%

Moderate
Solution

## In an adiabatic process .Taking logarithm,                     $\mathrm{log}\mathrm{P}+\mathrm{\gamma log}\mathrm{V}=\mathrm{log}\mathrm{k}$                    Differentiating,For a monoatomic gas, $\mathrm{\gamma }=\frac{5}{3}$. Therefore $\frac{\mathrm{\Delta V}}{\mathrm{V}}=-\frac{3}{5}×0.5\mathrm{%}=-0.3\mathrm{%}$The negative sign shows that the volume decreases.

NEW

Check Your Performance Today with our Free Mock Tests used by Toppers!

+91

Are you a Sri Chaitanya student?

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume ${V}_{1}$ and contains ideal gas at pressure ${P}_{1}$ and temperature ${T}_{1}.$  The other chamber has volume ${V}_{2}$ and contains ideal gas at pressure ${P}_{2}$ and temperature ${T}_{2}.$ If the partition is removed without dong any work on the gas, the final equilibrium temperature of the gas in the container will be