Calculate the density of paraffin oil, if glasscapillary of diameter 0

1.	Calculate the density of paraffin oil, if glasscapillary of diameter 0.25 mm dipped in paraffinoil of the surface tension 0.0245 N/m rises aheight of 4 cm.(angle of contact of paraffin oilwith glass is 28° and g = 9.8m/second squere)
Answer» Answer: DENSITY ( p ) = 897 kg / m³ [ For Paraffin Oil ] EXPLANATION: ★ FLUID MECHANICS ★ ★ GIVEN ; FOR _____________ [ GLASS CAPILLARY] ___________ » Diameter of Glass Capillary ( d ) = 0.25 mm ≈ 2.5 × 10-⁴ m » Surface Tension ( T ) = 0.025 N / m » Gravitational acceleration ( g ) = 9.8 m/s² *____________" WHEN GLASS CAPILLARY DIPPED IN PARAFFIN OIL " ___________* *: Following changes occur :::: ----* *★ Angle made by Capillary with PARAFFIN oil = Cos ∅* →{ ∅ = 28° } ← ★ Surface Tension rises by a HIEGHT ( H ) = 4cm ★ Density of PARAFFIN oil ( p ) = ??? ______ [ By Using FORMULA ] ______ $h \: = \frac{2 \: \times \: t \: \times \: \cos(t) }{r \: \times p \times g \: }$ ★ p = ( 2 × T × Cos ∅ ) / r × h × g ★ p = ( 2 × 0.025 × Cos 28° ) / ( 1.25 × 10-⁴ × 4 × 10-² × 9.8 ) » p = ( 0.05 × 0.88 ) / 5 × 9.8 × 10^-6 » p = 0.044 / 49 × 10^-6 » p = 89.7 × 10^-5 × 10^6 *★ » p = 897 Kg / m³ « ★* _________________________________________ ANSWER :- Density Of Paraffin Oil after insertion of Glass Cappilary is :- *♣ p = 897 kg / m³*

Calculate the density of paraffin oil, if glasscapillary of diameter 0.25 mm dipped in paraffinoil of the surface tension 0.0245 N/m rises aheight of 4 cm.(angle of contact of paraffin oilwith glass is 28° and g = 9.8m/second squere)

Answer»

Answer:

DENSITY ( p ) = 897 kg / m³

[ For Paraffin Oil ]

★ FLUID MECHANICS ★

★ GIVEN ; FOR

_____________ [ GLASS CAPILLARY] ___________

» Diameter of Glass Capillary ( d ) = 0.25 mm ≈ 2.5 × 10-⁴ m

» Surface Tension ( T ) = 0.025 N / m

» Gravitational acceleration ( g ) = 9.8 m/s²

____________" WHEN GLASS CAPILLARY DIPPED IN PARAFFIN OIL " ___________

: Following changes occur :::: ----

★ Angle made by Capillary with PARAFFIN oil = Cos ∅ →{ ∅ = 28° } ←

★ Surface Tension rises by a HIEGHT ( H ) = 4cm

★ Density of PARAFFIN oil ( p ) = ???

______ [ By Using FORMULA ] ______

$h \: = \frac{2 \: \times \: t \: \times \: \cos(t) }{r \: \times p \times g \: }$

★ p = ( 2 × T × Cos ∅ ) / r × h × g

★ p = ( 2 × 0.025 × Cos 28° ) / ( 1.25 × 10-⁴ × 4 × 10-² × 9.8 )

» p = ( 0.05 × 0.88 ) / 5 × 9.8 × 10^-6

» p = 0.044 / 49 × 10^-6

» p = 89.7 × 10^-5 × 10^6

★ » p = 897 Kg / m³ « ★

_________________________________________

ANSWER :- Density Of Paraffin Oil after insertion of Glass Cappilary is :-

♣ p = 897 kg / m³