Question

a bottle weighs 30g when empty ,53.4g when filled with liquid and 48 g when filled with water .find the density of the liquid

Answer 1

Heya folk !!

Here's the answer you are looking for

☛ Mass of bottle = 30g

☛ Mass of bottle + mass of liquid = 53.4g

So, mass of liquid = (53.4 - 30)g = 23.4g

☛ Also, mass of bottle + mass of water = 48g

So, mass of water = (48 - 30)g = 18g

➡️We know
$density = \frac{mass}{volume} \\ \\ mass = density \times volume$

Let the density of the liquid be d.

And we know that density of water is 1g/cc

And volume of the bottle be V.

Since, both the liquid and water are filled in the same bottle,
volume of water = volume of liquid = V

So,

☛ Mass of liquid = Vd = 23.4g

☛Mass of water = V(1) = 18g
V = 18g/1g/cc =18cc

Thus,

Vd = 23.4g

18cc (d) = 23.4g

$d = \frac{23.4g}{18cc} \\ \\ d = 1.3 \: g/cc$

Therefore, density of the liquid is 1.3g/cc.



★★ HOPE THAT HELPS ☺️ ★★

Answer 2

Heya folk !!

Here's the answer you are looking for

☛ Mass of bottle = 30g

☛ Mass of bottle + mass of liquid = 53.4g

So, mass of liquid = (53.4 - 30)g = 23.4g

☛ Also, mass of bottle + mass of water = 48g

So, mass of water = (48 - 30)g = 18g

➡️We know

\begin{gathered}density = \frac{mass}{volume} \\ \\ mass = density \times volume\end{gathered}

density=

volume

mass

mass=density×volume

Let the density of the liquid be d.

And we know that density of water is 1g/cc

And volume of the bottle be V.

Since, both the liquid and water are filled in the same bottle,

volume of water = volume of liquid = V

So,

☛ Mass of liquid = Vd = 23.4g

☛Mass of water = V(1) = 18g

V = 18g/1g/cc =18cc

Thus,

Vd = 23.4g

18cc (d) = 23.4g

\begin{gathered}d = \frac{23.4g}{18cc} \\ \\ d = 1.3 \: g/cc\end{gathered}

d=

18cc

23.4g

d=1.3g/cc

Therefore, density of the liquid is 1.3g/cc.