Question

The volume of a 500 g sealed packet is 350 cm3. Will the packet float or sink in water if the density of water is 1 g cm–3? What will be the mass of the water displaced by this packet?​

Answer 1

Answer:

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Answer 2

Answer:

Given :-

• The volume of a 500 g sealed packet is 350 cm³. The density of water is 1 g/cm³.

To Find :-

• Will the packet float or sink in the water.
• What is the mass of the water displaced by this packet.

Formula Used :-

$\clubsuit$ Mass Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Mass =\: Density \times Volume}}}\: \: \: \bigstar$

Solution :-

First, we have to find the density of packet and it will float or sink :

Given :

• Mass = 500 g
• Volume = 350 cm³

According to the question by using the formula we get,

$\implies \bf Mass =\: Density \times Volume$

$\implies \sf 500 =\: Density \times 350$

$\implies \sf \dfrac{500}{350} =\: Density$

$\implies \sf 1.43 =\: Density$

$\implies \sf\bold{\purple{Density =\: 1.43\: g/cm^3}}$

$\leadsto$ The density of packet is more than the density of water.

Hence, the packet will not float on water, it will sink into the water.

$\therefore$ The packet will sink in the water.

Now, we have to find the mass of the water displaced by this packet :

Given :

• Density = 1 g/cm³
• Volume = 350 cm³

According to the question by using the formula we get,

$\small \implies \bf Mass_{(Water)} =\: Density \times Volume$

$\implies \sf Mass_{(Water)} =\: 1 \times 350$

$\implies \sf\bold{\red{Mass_{(Water)} =\: 350\: g}}$

$\therefore$ The mass of the water displaced by this packet is 350 g .