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How many moles of helium at temperature ...

How many moles of helium at temperature 300K and 1.00 atm pressure are needed to make the internal energy of the gas 100J?

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The correct Answer is:
A, B
Helium is monoatomic. So, degree of freedom `f=3`
`U=(nf)/(2)RT=(3n)/(2)RT`
or `n=(2U)/(3RT)`
`=(2xx100)/(3xx8.31xx300)`
`2.67xx10^-2mol`
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Knowledge Check

  • How many moles of Helium gas occupy 22.4 L at 0^(@)C at 1 atm pressure?

    A
    `0.11`
    B
    `0.90`
    C
    `1.0`
    D
    `1.11`

  • How many moles of helium gas will occupy 22.4 L volume at 0^@ C and at 1 atm pressure?

    A
    `0.11`
    B
    `0.90`
    C
    `1.0`
    D
    `1.11`

  • Internal energy of n_1 moles of hydrogen at temperature 150 K is equal to the in ternal energy of n_2 moles of helium at temperature 300 K The ratio of n_1//n_2 is

    A
    `3:5`
    B
    `2:3`
    C
    `6:5`
    D
    `5:6`
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