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To determine the work done during the reversible expansion of the balloon, we can use the formula for work done in a process where pressure is proportional to diameter. The initial diameter is 0.5 m, and the final diameter is 0.55 m, with initial pressure ( P_1 = 500 , \text{kPa} ). The average pressure during the expansion can be calculated as ( P_{avg} = \frac{P_1 + P_2}{2} ), where ( P_2 ) can be found using the proportional relationship. The work done ( W ) can then be calculated using ( W = P_{avg} \cdot \Delta V ), where ( \Delta V ) is the change in volume between the two diameters.
However, without calculating the new pressure ( P_2 ), we cannot provide a numeric answer. If you want, I can further assist with that calculation.
What else can I help you with?
What is the difference between proportional and non proportional relationship?
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.
As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
What is opposite word for inverse?
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.
As the diameter of the circle increases what happens to the circumference?
The circumference of a circle increases with an increase in the radius as it is directly proportional its radius.
Is y3x a proportional relationship?
To determine if ( y = 3x ) represents a proportional relationship, we check if it can be expressed in the form ( y = kx ), where ( k ) is a constant. In this case, ( k = 3 ), which indicates that as ( x ) increases, ( y ) increases proportionally. Therefore, ( y = 3x ) is indeed a proportional relationship.
What is the difference of directly proportional and inverse proportional?
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.
Is mass inversely proportional to momentum?
Mass is proportional to momentum. Momentum is the product of mass and velocity. When mass increases, momentum increases.
Does the entropy of the universe increase when a system undergoes a reversible process?
Yes, the entropy of the universe increases when a system undergoes a reversible process.
What is the difference between proportional and non proportional relationship?
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.
How do you tell if a math table is inversely proportional or directly 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.
Is voltage 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.
As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
When the sides of a polygon are tripled in length the perimeter increases by a factor of and the area increases by a factor of?
Perimeter is proportional to the linear dimensions, so it increases by 3x .Area is proportional to (linear dimensions)2, so it increases by 9x .
Which variable is directly proportional to frequency?
Frequency, when referring to waves, is directly proportional to the velocity of the wave. Frequency in inversely proportional to the wavelength.
How is an electron's wavelength related to its speed and mass?
The wavelength of an electron is inversely proportional to its speed and directly proportional to its mass. This means that as the speed of an electron increases, its wavelength decreases, and as the mass of an electron increases, its wavelength also increases.
What is speed directly proportional to?
Speed is directly proportional to energy in case of Einstein equation.
How are the volume and pressure of a gas at a constant temperature related?
They're proportional; as temperature increases volume increases.
