Problem 5. Determine whether equations (i) and (ii) below are dimensionally cons

Question

Problem 5. Determine whether equations (i) and (ii) below are dimensionally consistent (ii) W= (P. ) dK, where W-work. P pressure. = volume, x = distance, y-distance, v-velocity, t-time, and a acceleration. (a) (i) is dimensionally consistent; (ii) is dimensionally inconsistent (b) (i) is dimensionally inconsistent) is dimensionally consistent (c) (i) and (ii) are both dimensionally consistent (d) (i) and (ii) are both dimensionally inconsistent Density, specific volume, specific weight Problem 6. The mass of an unknown gas mixture in a room that is 3 m × 3 m × 5 m is known to be 9 kg. What is the specific volume v of the gas in m3/kg? (a) O

Explanation / Answer

Problem 5.

(i) it is inconsistent as dimensions of both the quantities on the RHS are different so we cannot just add two quantities having different dimensions.

(ii) It is dimensionally inconsistent, as dimensions of RHS are not same as of that of LHS.

Problem 6.

volume o fthe room=3*3*5

=45

mass is given to be =9Kg

So specific volume=45/9

=5

So,

v>4(option e)

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