How long it will take for 500ml of water to flow through a 15cm long 1.5mm radius if the pressure differential across the pipe is 4kpa?the viscosity of water is 0.8 cpoise. Ans=7.5s
please helpppp
please helpppp
1 Answer
Apr 22, 2018
Explanation:
Convert everything into

#"V = 500 mL = 500 cm"^3# 
#l = "15 cm"# 
#"r = 1.5 mm = 0.15 cm" color(white)(..)[∵ "1 mm = 0.1 cm"]# 
#Δ"P = 4 kPa = 4" × 10^3\ "Pa" = 4 × 10^4\ "dyne/cm"^2#
#[∵ "1 Pa = 1 N/m"^2 = "10 dyne/cm"^2]# 
#eta = "0.8 cpoise" = 0.8 × 10^2\ "poise"#
#color(white)(..)[∵ "1 cpoise" = 10^2\ "poise"]#
Volume of water per unit time is
#"V"/t = ("ΔPπr"^4)/(8 eta l)#