Question

A 95g measuring cylinder has a total mass of 140g when a 50cm³ liquid poured into it. what is the density of liquid

Answer 1

Answer:

2.8

Explanation:   140/50=2.8

Answer 2

Given :

• Mass of measuring Cylinder = 95g
• Total mass (After liquid is added) = 140g
• Volume of liquid = 50cm³

To Find :

• Density of the liquid ?

Formula To Be Applied:

We will use the formula of density :

$\displaystyle \rm \bull \: \rho = \frac{mass}{volume}$

Concept :

We will firstly find the mass of liquid. As the mass of the cylinder and the whole mass (including that of cylinder and liquid) is given

Then, using the mass and volume, we will calculate the density of the liquid using the above stated formula

Solution:

Given, Mass of cylinder (C) = 95 g

Total mass (C+L) = 140g

Mass of liquid (L) = T-C

$\implies \displaystyle \rm m= 140 - 95$

$\implies \displaystyle \rm m = 45g$

Hence, Mass of Liquid = 45g

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Now, As we know:

Volume of the liquid = 50cm³

Mass of liquid = 45g

So, using the formula stated above :

$\displaystyle \rm \implies \rho \: = \frac{mass}{volume}$

$\displaystyle \rm \implies \rho \: = \frac{45g}{50 {cm}^{3} }$

$\red{ \underline { \boxed{ \implies \displaystyle \rm \rho \: = 0.9gpc {m}^{3} }}}$

So, The Density of the liquid = 0.9 g/cm³

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Final Answer:

As we found Out above :

Density of the liquid = 0.9 g/cm³