The equation of state for $n$ moles of an ideal gas is $p V = n R T$ , where $R$ is a constant. The SI unit for $R$ is:

{J K}^{- 1}

per molecule

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{J K}^{- 1} {m o l}^{- 1}

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J {K g}^{- 1} K^{- 1}

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J K^{- 1} g^{- 1}

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Solution

The correct option is B ${J K}^{- 1} {m o l}^{- 1}$
SI unit of pressure is Pascal or $\frac{N}{m^{2}}$ .
SI unit of volume is $m^{3} .$
SI unit of $P V = \frac{N}{m^{3}} \times m^{3} = N m = J o u l e$
Because $N M$ is the unity of work. It is also equal to joule.
$R = \frac{P V}{n R T}$
For moles it is $m o l .$
For temperature, SI unit is $K .$
So, $R = \frac{J}{m o l K} = J K^{- 1} m o l^{- 1}$

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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:

The correct option is B JK−1mol−1SI unit of pressure is Pascal or Nm2.SI unit of volume is m3.SI unit of PV=Nm3×m3=Nm=JouleBecause NM is the unity of work. It is also equal to joule.R=PVnRTFor moles it is mol.For temperature, SI unit is K.So, R=JmolK=JK−1mol−1

The equation of state for $n$ moles of an ideal gas is $p V = n R T$ , where $R$ is a constant. The SI unit for $R$ is: