Answer:
[tex] \boxed{\sf Mass \ of \ mercury = 1 \: kg \: and \: 250 \: g} [/tex]
Given:
Mass of a bottle full of mercury = 3 kg and 40 g
Mass of the empty bottle = 1 kg and 790 g
To find:
Mass of mercury
Step-by-step explanation:
[tex] \sf \implies 1 \: kg = 1000 \: g \\ \\ \sf \implies 3 \: kg = 3 \times 1000 \: g = 3000g[/tex]
So,
Mass of a bottle full of mercury = 1040 g
Mass of the empty bottle = 1790 g
[tex] \sf \implies Mass \: of \: mercury = Mass \: of \: a \\ \: \: \: \: \: \: \: \: \: \: \: \: \sf bottle \: full \: of \: mercury - Mass \\ \: \: \: \: \: \: \: \: \: \: \: \: \sf of \: the \: empty \: bottle \\ \\ \sf \implies Mass \: of \: mercury =3040 - 1790 \\ \\ \sf \implies Mass \: of \: mercury =1250 \: g[/tex]
[tex] \sf 1 \: g = \frac{1}{1000} \: kg \\ \\ \sf \implies 1250 \: g = 1250 \times \frac{1}{1000} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = \frac{1250}{1000} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = 1.25 \: kg \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = 1 \: kg \: and \: 250g[/tex]
