The equation of state of gas is
here, P is the pressure, V is the volume, T is the absolute temperature and a, b, & R
are constants.
(i) The dimensions of a are-
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Ans.
(i)
Sol. = [P] [V] 2 = ML 4 T –2 = [V] = L
3
[R] = 
= ML 2 T –2 K –1
(ii)
Sol. = [P] [V] 2 = ML 4 T –2 = [V] = L
3
[R] = 
= ML 2 T –2 K –1
(iii)
Sol. = [P] [V] 2 = ML 4 T –2 = [V] = L
3
[R] = 
= ML 2 T –2 K –1
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