Hey stuck on this question I got length is 53.02 cm but it’s not right

The volume of air is sufficient that a section of the balloon is at one radius and the rest is at a larger radius. At this higher temperature, the two stable radii of the balloon are 2.00cm and 5.00cm and its overall length is 60.0cm . How long is the small radius section of the balloon?

The volume is 1.05 dm^3

Part b

This is part a which I have completed

Due to the properties of the rubber that cylindrical modelling balloons are made from, they have two stable radii for the same value of internal pressure. If the pressure is high because the balloon is fully inflated, the whole cylindrical balloon will have a large radius.

As air is released, the balloon can remain at a fixed length, but a section of it can reduce to a lower radius, with the rest of the balloon remaining at a larger radius, looking rather like a snake that has swallowed an animal whole. Such a cylindrical balloon is inflated to a volume of 1.00dm

3

at room temperature ( 25.0

∘

C ).

The balloon is then heated up to 40.0

∘

C at atmospheric pressure. The pressure due to the tension in the surface can be neglected.

The volume of air is sufficient that a section of the balloon is at one radius and the rest is at a larger radius. At this higher temperature, the two stable radii of the balloon are 2.00cm and 5.00cm and its overall length is 60.0cm . How long is the small radius section of the balloon?

The volume is 1.05 dm^3

Part b

This is part a which I have completed

Due to the properties of the rubber that cylindrical modelling balloons are made from, they have two stable radii for the same value of internal pressure. If the pressure is high because the balloon is fully inflated, the whole cylindrical balloon will have a large radius.

As air is released, the balloon can remain at a fixed length, but a section of it can reduce to a lower radius, with the rest of the balloon remaining at a larger radius, looking rather like a snake that has swallowed an animal whole. Such a cylindrical balloon is inflated to a volume of 1.00dm

3

at room temperature ( 25.0

∘

C ).

The balloon is then heated up to 40.0

∘

C at atmospheric pressure. The pressure due to the tension in the surface can be neglected.

Original post by Lilykil

Hey stuck on this question I got length is 53.02 cm but it’s not right

The volume of air is sufficient that a section of the balloon is at one radius and the rest is at a larger radius. At this higher temperature, the two stable radii of the balloon are 2.00cm and 5.00cm and its overall length is 60.0cm . How long is the small radius section of the balloon?

The volume is 1.05 dm^3

Part b

This is part a which I have completed

Due to the properties of the rubber that cylindrical modelling balloons are made from, they have two stable radii for the same value of internal pressure. If the pressure is high because the balloon is fully inflated, the whole cylindrical balloon will have a large radius.

As air is released, the balloon can remain at a fixed length, but a section of it can reduce to a lower radius, with the rest of the balloon remaining at a larger radius, looking rather like a snake that has swallowed an animal whole. Such a cylindrical balloon is inflated to a volume of 1.00dm

3

at room temperature ( 25.0

∘

C ).

The balloon is then heated up to 40.0

∘

C at atmospheric pressure. The pressure due to the tension in the surface can be neglected.

The volume of air is sufficient that a section of the balloon is at one radius and the rest is at a larger radius. At this higher temperature, the two stable radii of the balloon are 2.00cm and 5.00cm and its overall length is 60.0cm . How long is the small radius section of the balloon?

The volume is 1.05 dm^3

Part b

This is part a which I have completed

Due to the properties of the rubber that cylindrical modelling balloons are made from, they have two stable radii for the same value of internal pressure. If the pressure is high because the balloon is fully inflated, the whole cylindrical balloon will have a large radius.

As air is released, the balloon can remain at a fixed length, but a section of it can reduce to a lower radius, with the rest of the balloon remaining at a larger radius, looking rather like a snake that has swallowed an animal whole. Such a cylindrical balloon is inflated to a volume of 1.00dm

3

at room temperature ( 25.0

∘

C ).

The balloon is then heated up to 40.0

∘

C at atmospheric pressure. The pressure due to the tension in the surface can be neglected.

I have just started the same question and an very confused on the visualisation do you know what it means by the small radius section? I think hint 2 might help.

If I had a better understanding of the question I might be able to help.

(edited 1 month ago)

Original post by 5ilent_a55a55in

I have just started the same question and an very confused on the visualisation do you know what it means by the small radius section? I think hint 2 might help.

If I had a better understanding of the question I might be able to help.

If I had a better understanding of the question I might be able to help.

No worries thanks

I can visualise it but just can’t seem to work it out x

Original post by Lilykil

No worries thanks

I can visualise it but just can’t seem to work it out x

I can visualise it but just can’t seem to work it out x

I have the answer:

The equation for a cylinder is V = (pi)(r^2)h.

The volumes for the small radius and big radius must sum to the answer for part A.

As an equation: (pi)(0.02)*L1 + (pi)((0.05)^2)*L2 = 1.05 dm^3

Where: L1 is the length of the short radius section and L2 the long section.

You also know that L1 and L2 must sum to 60cm: L1 + L2 = 60 cm

Now solve for L1

You may have already solved it but in case you haven't this is the method I used to answer the question

(edited 1 month ago)

Original post by 5ilent_a55a55in

I have the answer:

The equation for a cylinder is V = (pi)(r^2)h.

The volumes for the small radius and big radius must sum to the answer for part A.

As an equation: (pi)(0.02)*L1 + (pi)((0.05)^2)*L2 = 1.05 dm^3

Where: L1 is the length of the short radius section and L2 the long section.

You also know that L1 and L2 must sum to 60cm: L1 + L2 = 60 cm

Now solve for L1

You may have already solved it but in case you haven't this is the method I used to answer the question

The equation for a cylinder is V = (pi)(r^2)h.

The volumes for the small radius and big radius must sum to the answer for part A.

As an equation: (pi)(0.02)*L1 + (pi)((0.05)^2)*L2 = 1.05 dm^3

Where: L1 is the length of the short radius section and L2 the long section.

You also know that L1 and L2 must sum to 60cm: L1 + L2 = 60 cm

Now solve for L1

You may have already solved it but in case you haven't this is the method I used to answer the question

Thanks x

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