a balloon with an internal pressure of 300. torr rises to a height of 30,000 feet, where the pressure is 15. torr. assuming temperature remains constant, by what ratio did the volume change?

Answers

Answer 1

The volume of the balloon increased by a factor of 20 or increased by 20 times.

We can use Boyle's Law to solve this problem, which states that the pressure and volume of a gas are inversely proportional, as long as the temperature remains constant.

Boyle's Law: P1V1 = P2V2

Where P1 and V1 are the initial pressure and volume, and

P2 and V2 are the final pressure and volume.

Also we know that P1 = 300 torr, P2 = 15 torr, and V1 = V

Therefore, after substituting

300 V = 15 (V2)

V2 = 300/15

V2 = 20 V1

Therefore, the volume changed by a factor of 20 or increased by 20 times.

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Related Questions

4x10^-15C charged experiences a 5x10^-16N force. What is the strength of the electric field in that region of space?

Answers

Answer:

Explanation:

The electric force F exerted by the field on the positive charge is F = qE

where q is electric charge and E is electric field.

E=F/q=5 *10^-16/4*10^-15=1.25*10^-1 = 0.125N/C

A car wheel of radius 0.3 m has an angular acceleration of 2.45 rad/s2
. Calculate
the linear acceleration of wheel.

Answers

The linear acceleration of the car wheel is 0.735 m/s².

What is the the linear acceleration of car wheel?

The linear acceleration of a point on the rim of a wheel is related to the angular acceleration of the wheel by the equation:

a = rα

Where "a" is the linear acceleration, "r" is the radius of the wheel, and "α" is the angular acceleration.

Given the data in the question;

angular acceleration of α = 2.45 rad/s² radius r = 0.3 m. linear acceleration a = ?

Plug the given values into the above formula and solve for the linear acceleration of wheel.

a = r × α

a = 0.3 m × 2.45

a = 0.735 m/s²

Therefore, the linear acceleration is 0.735 m/s².

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a 56.2-gram tennis ball is loaded into a 1.27-kg homemade cannon. the cannon is at rest when it is ignited. immediately after the impulse of the explosion, a photogate timer measures the cannon to recoil backwards a distance of 6.1 cm in 0.0218 seconds. determine the post-explosion speed of the cannon and of the tennis ball.

Answers

A photogate timer measures the cannon to recoil backward at a distance of 6.1 cm in 0.0218 seconds. The post-explosion speed of the cannon and of the tennis ball is: 599.9 m/s

The post-explosion speed of the cannon and of the tennis ball can be determined using the impulse-momentum theorem. This theorem states that the impulse (change in momentum) is equal to the product of the average force and the time interval during which it acts.

The impulse is equal to the mass of the cannon times the change in velocity of the cannon. The mass of the cannon and the tennis ball is the sum of the mass of the cannon and the mass of the tennis ball, which is 1.326 kg. The time interval is 0.0218 seconds.

We can calculate the change in velocity of the cannon and the tennis ball using the equation impulse = mass x change in velocity. This gives us:

change in velocity = impulse / mass = (1.326 kg) x (6.1 cm) / (0.0218 s) = 599.9 m/s.

Therefore, the post-explosion speed of the cannon and the tennis ball is 599.9 m/s.

This calculation is based on the assumption that the impulse of the explosion is the same for both the cannon and the tennis ball. Therefore, the post-explosion speed of the cannon and the tennis ball is the same and equal to 599.9 m/s.

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