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The equation of state for n moles of an ...

The equation of state for n moles of an ideal gas is `PV=nRT`, where R is a constant. The SI unit for R is

A

`JK^(-1)` per molecule

B

`JK^(-1)mol^(-1)`

C

`Jkg^(-1)K^(-1)`

D

`JK^(-1)g^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
According to ideal gas equation, `PV=nRT`
implies `R=(PV)/(nT)=("Pressure"xx"volume")/("no. of moles"xx"temperature")`
`=(Pam^(3))/(molK)=(Nm^(-2)m^(3))/(molK)=(Nm)/(molK)=Jmol^(-1)K^(-1)`
The S.I. unit of R is J `mol^(-1)K^(-1)`.
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Knowledge Check

  • In the equation of state of an ideal gas PV =nRT , the value of the universal gas constant is not correct :

    A
    `"8.314 JK"^(-1)"mol"^(-1)`
    B
    `0.0821" atm L mol"^(-1)K^(-1)`
    C
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    D
    `"2 cal mol"^(-1)K^(-1)`

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    A
    `8.314 "cal K"^(-1) " mol"^(-1)`
    B
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    C
    `8.314 KJK^(-1) mol^(-1)`
    D
    None of these

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    A
    the nature of the gas
    B
    the units of measurement
    C
    the pressure of the gas
    D
    the pressure of the gas

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