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Q: A spherical balloon of 0.5m diameter contains air at a pressure of 500kpaThe diameter increases to 0.55m in a reversible process during which pressure is proportional to diameter.Determine the work do?

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In mathematics, or physics, if one quantity is proportional to the other, that means that if one quantity increases by a certain factor, the other quantity increases by the same factor. For example, if"y" is proportional to "x", and "x" increases by a factor 10, then "y" must also increase by a factor 10. Any relationaship that does NOT follow this rule is NOT proportional.

The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)

Direct. For example, if a number is inversely proportional to something, it increase as the other one decreases. Ifa number is directly proportional to something, it increases as the other one increases.

The circumference of a circle increases with an increase in the radius as it is directly proportional its radius.

"indirectly proportional" appears to be interchangeable with "inversely proportional."When a dependent variable is inversely proportional to an independent variable, that means it decreases as the dependent one increases, and vice versa. For example, a baseball player's batting average is inversely proportional to the number of at-bats. (It's directly proportional to the number of hits he gets.) In other words, as the number of at-bats increases, the player's batting average decreases. Another example is gravitational attraction between two bodies. The gravitational force between two bodies is inversely proportional to the square of the distance between them.

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In a directly proportional relationship, as one variable increases, the other variable also increases at a constant rate. In an inverse proportional relationship, as one variable increases, the other variable decreases at a constant rate.

Mass is proportional to momentum. Momentum is the product of mass and velocity. When mass increases, momentum increases.

In mathematics, or physics, if one quantity is proportional to the other, that means that if one quantity increases by a certain factor, the other quantity increases by the same factor. For example, if"y" is proportional to "x", and "x" increases by a factor 10, then "y" must also increase by a factor 10. Any relationaship that does NOT follow this rule is NOT proportional.

Generally, if y increases as x increases, this is a hint that the quantity is directly proportional, and if y decreases as x increases, the relation might be inversely proportional. However, this is not always the case. x and y are directly proportional if y = kx, where k is a constant. x and y are inversely proportional if y = k/x, k is constant. This is the best way to tell whether the quantities are directly or inversely proportional.

Voltage is directly proportional to current, meaning that as voltage increases, current also increases and vice versa, as per Ohm's Law. However, voltage is inversely proportional to resistance, meaning that as voltage increases, resistance decreases and vice versa.

The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)

Perimeter is proportional to the linear dimensions, so it increases by 3x .Area is proportional to (linear dimensions)2, so it increases by 9x .

The variable that is directly proportional to frequency is the pitch of a sound wave. This means that as frequency increases, pitch also increases.

Speed is directly proportional to distance traveled in a given amount of time. This means that as distance increases, the speed at which an object is traveling also increases proportionally.

They're proportional; as temperature increases volume increases.

They're proportional; as temperature increases volume increases.

When the distance between the two object increases the gravitational force increases because gravitational force is inversely proportional to distance and also the mass of the object increases than force also increases because this force is directly proportional to mass.