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The smallest surface area for a given volume is a sphere. A spherical object such as a balloon represents the minimum energy required to maintain the volume of the material within. A balloon filled with water if stretched will increase the surface area of the balloon without altering the volume as water is non-compressible. Any alternative shape that encloses the same volume will have a larger surface area than a sphere.

A perfect example is a drop of liquid in a zero gravity environment which will vibrate when intially created but will gradually slow to a stop and take the form of a perfect sphere.

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14y ago
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6mo ago

You can increase the surface area of an object by changing its shape to include more edges or faces. For example, flattening or elongating the object can increase the surface area without increasing the volume.

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Q: How do you increase the surface area withour increasing the volume?
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What happens to the volume and surface area of a cell as a cell becomes larger?

They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.


What happens to the surface area and volume of a cell as it becomes larger?

They both increase with increasing cell radius (if we model a cell as a sphere). However, the rate of increase of the surface area is in general slower (dA/dr = 8πr) compared to the rate of increase of the volume (dV/dr = 4πr2). This would mean that with increasing cell size, the surface area to volume ratio is becoming smaller and smaller, giving a cell less surface area for the transport of nutrients for a given unit volume.


When sugar is disolved in water there is increasing in the volume?

The volume increase.


Why is a cell forced to divide?

it's the problem of surface area -to- volume ratio that mean there is no fitting between increasing of surface area and increasing of volume


What happens when temperature of gas is increasing?

The volume will increase


Why will increasing a rocket's volume increase altitude?

Magnets.


How does surface to volume ratio affects heat loss?

The surface-to-volume ratio is a mathematical relationship between the volume of an object and the amount of surface area it has. This ratio often plays an important role in biological structures. An increase in the radius will increase the surface area by a power of two, but increase the volume by a power of three.


How is the density affected by increasing the mass whiule holding the volume constant?

Holding volume constant while increasing mass will increase density. density = mass / volume


What is the result of increasing the temperatue of a gas?

At constant volume the pressure increase.


What three things can increase the solubility of a solute?

To increase the solubility of a solute:Increase the temperature.Crsuh the solute to powder so you have a larger surface area to volume ratio.Increase the stirring/mixing rate.


What would happen to the pressure if the volume were reduced to 0.5 and the temperature increased to 260?

The pressure would increase due to the decrease in volume, as pressure and volume are inversely related according to Boyle's Law. The temperature increase to 260 would further increase the pressure according to Gay-Lussac's Law, since pressure and temperature are directly related.


What will result from increasing the temperature of gas?

Increasing the temperature of a gas will generally increase its pressure and volume, assuming constant mass. Higher temperature will cause the gas particles to move faster and collide more frequently with the container walls, leading to an increase in pressure. The volume of the gas will also expand as the gas particles move farther apart from each other.