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Why the gas constant 'R' is called unive...

Why the gas constant 'R' is called universal gas constant?

Text Solution

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The value of gas constant R is same for all `gases_t` and is independent of the nature of gas. Hence it is called universal gas constant.
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Knowledge Check

  • For 1 mole of an ideal gas, during an adiabatic process, the square of the pressure of a gas is found to be proportional to the cube of its absolute temperature. The specific heat of the gas at constant volume is (R - universal gas constant)

    A
    3R
    B
    `(R )/(2)`
    C
    `(R )/(3)`
    D
    2R
  • Three moles of an ideal monotomic gas performs a cycle ABCDA as shown in the figure The temperatures of the gas at the states A,B,C and D are 400 K , 800 k 2400 k and 1200 k respecitvely the work done by the gas during this cycle is R is universal gas constant

    A
    1200 R
    B
    3600 R
    C
    2400 R
    D
    2000 R
  • One mole of a gas expands such that its volume 'v' changes with absolute temperature 'T' in accordance with the ralation V = HT^(2) where 'K' is a constant . If the temperature of the gas changes by 60^(@) C , then work done by the gas is (R is universal gas constant ) .

    A
    KRIn 60
    B
    Rin 60
    C
    40 KR
    D
    120 R
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    One mole of a gas expands such that its volume 'V' changes with absolute temperature 'T' in accordance with the relation V = KT^2 where 'K' is a constant. If the temperature of the gas changes by 60^@C , then work done by the gas (R is universal gas constant)

    One mole of ideal gas goes through a process pV^3 = Constant , where p and V are pressure and volume, respectively. Let W be the work done by the gas as its temperature is increased by Delta T . The value of |W| is (R is the universal gas constant. )