The equation of state of a real gas can be expressed as (P+aV2)(V−b)=cT, where P is the pressure, V the volume, T the absolute temperature and a, b, c are constants. What are the dimensions of 'a'-
A
M0L3T−2
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B
ML−2T5
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C
ML5T−2
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D
M0L3T0
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Solution
The correct option is CML5T−2 (p+aV2)(v−b)=cT
p is pressure, V is volume and T is temperature
p=FA=MLT−2L2=ML−1T−2V=L3
We cannot add or subtract quantities of different dimensions.