(1) Units, Dimensional Analysis, and Conversion Factors - LearnCheme.com

1. X = P.Q/(RS^2)

If P has units of pressure, Q has units of volume, R has units of length, and S has units of velocity, then the fundamental units of X will be . . . . . .

• Mass-Length
• Force
• Force-time^2/length^2
• Length-time
• Mass/length

SOLUTION :

P ===> Pressure = Density x Acceleration Gravity x Height ===> Units = kg/m3 x m/s2 x m

Q ===> Volume = Length x Length x Length ===> Units = m x m x m = m^3

R ===> Length ===> Units = m

S ===> Velocity = Length/time ===> Units = m/s

X = P.Q/(RS^2) ===> (kg/m3 x m/s2 x m) . (m^3) / ((m) (m/s)^2) = kg/m

X = Mass/Length

Note :

m = meter

kg = kilogram

s = second