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, ...

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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}

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\frac{P}{T}

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\frac{T}{P}

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- \frac{T}{P}

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Solution

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

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Similar questions

Q. The variation of volume

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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}

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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 $Δ T$ ?