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Question

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
JK1 per molecule
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B
JK1mol1
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C
JKg1K1
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D
JK1g1
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Solution

The correct option is B JK1mol1
SI unit of pressure is Pascal or Nm2.
SI unit of volume is m3.
SI unit of PV=Nm3×m3=Nm=Joule
Because NM is the unity of work. It is also equal to joule.
R=PVnRT
For moles it is mol.
For temperature, SI unit is K.
So, R=JmolK=JK1mol1

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