A solid weighs 32 gf in air and 28.8 gf in water. What is the relative density of the solid?
2 Answers
May 15, 2018
Explanation:
#"m ="# Mass of solid#"V ="# Volume of solid#"ρ"_"s" ="# Density of solid#"ρ"_"w" ="# Density of water#"g ="# Acceleration due to gravity#"F"_"b" ="# Bouyant force (#"= V ρ"_"w" "g"# )
In air
#32\ "gf = mg = Vρ"_"s" "g" color(white)(...)[∵ "Mass = Volume × Density"]#
Let’s call this as equation (1)
In water
#"28.8 gf = mg - F"_"b"#
#"28.8 gf = 32 gf – F"_"b"#
#"F"_"b" = "3.2 gf"#
#"Vρ"_"w" "g = 3.2 gf"# ………(2)
Didvide equations (1) and (2)
Relative density is
May 15, 2018
Explanation:
Relative density can also be found by using the formula
#"RD" = "Weight in air"/"Loss of weight in water"#