The ratio of coefficient of thermal expansion - - partial V- T P-V and the isothermal compressibility - - partial V- P T-V for an ideal gas is

The correct option is B PT Their ratio is P/T as from ideal gas equation, ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Ideal Gas Equation

The ratio of ...

Question

The ratio of coefficient of thermal expansion $α = \frac{{(\frac{p a r t i a l V}{\partial T})}_{P}}{V}$ and the isothermal compressibility $β = \frac{{(\frac{p a r t i a l V}{\partial P})}_{T}}{V}$ for an ideal gas is

- \frac{P}{T}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{P}{T}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{T}{P}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- \frac{T}{P}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{P}{T}$
Their ratio is $P / T$ as from ideal gas equation,

Suggest Corrections

Similar questions

Q. The variation of volume

V

, with the temperature

T

, keeping pressure constant is called the coefficient of thermal expansion (

α

) of a gas ie.,

α = \frac{1}{V} {(\frac{\partial V}{\partial T})}_{P}

For an ideal gas

α

is equal to :

Q. Isothermal compressibility (K) of an ideal gas is defined as

K = - \frac{1}{V} {(\frac{\partial V}{\partial P})}_{T . n}

What is the isothermal compressibility factor for an ideal gas at 1.0 atm ? ___

Q. Draw the P-T and V-T diagrams for an isobaric process of expansion, corresponding to n moles of an ideal gas at a pressure P

_{0}

, from V

_{0}

to 2V

_{0}

You might be familiar with the ideal gas equation from Chemistry, which relates the pressure and volume of an ideal gas with temperature as: $P V$ = $n R T$ , where $n R$ is a constant. You are given a closed metal container of volume $V$ , filled with a gas kept at a temperature $T$ , and pressure $P$ . If $γ$ is the coefficient of volume expansion for the gas, what is the pressure after the temperature is increased by $Δ T$ ?