Question

If the temperature of an iron sphere is increased A)its density will decrease .B)its volume will decrease. C)its mass will decrease. D)its density will increase. E)its density will remain unchanged

Answer 1

Answer:

A) Its density will decrease

Explanation:

When an object is heated, its volume increases. This is due to the fact that the particles in the medium vibrate more (if it is a solid) or they move more (if it is a liquid or a gas), therefore they tend to occupy a larger space.

At the same time, the mass of the object does not change, because the mass just represents the amount of matter contained in the object, so it does not increase/decrease at different temperatures.

The density of an object is defined as the ratio between the mass (m) and the volume (V):

$d=\frac{m}{V}$

We said that the mass remains unchanged while the volume increases: since the density is inversely proportional to the volume, this means that the density decreases.

Answer 2

If the temperature of an iron sphere is increased , then A) its density will decrease

Further explanation

This problem is about Density.

Density is the ratio of mass to the volume of the object.

$\large {\boxed {\rho = \frac{ m }{ V } } }$

ρ = density of object ( kg / m³ )

m = mass of object ( kg )

V = volume of object ( m³ )

When the iron sphere is heated, it will expand. This expansion causes an increase in the volume of the sphere.

The volume expansion of the iron sphere could be calculated using this following formula.

$\large {\boxed {V = Vo ( 1 + 3 \alpha \Delta t )} }$

where:

V = final volume after expansion ( m³ )

Vo = initial volume before expansion ( m³ )

α = coefficient of expansion ( /K )

Δt = change in temperature ( K )

The mass of the iron ball does not change, so according to the formula above, the density of the iron sphere will decrease.

This is because the density is inversely proportional to the volume of the object.

The greater the volume of the object, the smaller the density of the object.

Learn more

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Density

Keywords: Temperature , Density , Iron , Sphere , Volume , Mass