[P+a/(v square)] [v-b]=RT. :Here p is pressure a&b are constant. v is volume R is gas constant and T is temperature.Find the dimensions of [a] and[b].
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Answered by
201
(P + a/V2) (V - b) = RT
P is pressure, V is volume and T is temperature.
[P] = [F/A] = [MLT −2/L2] = [ML−1T −2]
[V] = [L3]
We cannot add or subtract quantities of different dimensions. Therefore
[P] = [a/V2] ⇒ [a] = [PV2] = [ML−1T −2 L6] = [M L5 T −2]
∴ [a] = [M L5 T −2]
Similarly,
[b] = [V] = [L3]
P is pressure, V is volume and T is temperature.
[P] = [F/A] = [MLT −2/L2] = [ML−1T −2]
[V] = [L3]
We cannot add or subtract quantities of different dimensions. Therefore
[P] = [a/V2] ⇒ [a] = [PV2] = [ML−1T −2 L6] = [M L5 T −2]
∴ [a] = [M L5 T −2]
Similarly,
[b] = [V] = [L3]
Answered by
134
Answer:
The dimensions of a and b is [ML⁵T⁻²] and [L³].
Explanation:
Given that,
Where, P = Pressure
V = Volume
T = Temperature
Pressure is the force upon area.
The dimension formula of pressure is
The dimension formula of volume is
We cannot add or subtract quantities of different dimension.
Therefore,
Put the dimension of P and V
Similarly,
Hence, The dimensions of a and b is [ML⁵T⁻²] and [L³].
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