Others say that the balloon was 23 metres high and 14 metres wide. Calculate the temperature of the air in the balloon (in degrees Celsius) for this situation as well. (Assume the balloon to be spherical, and then elongated by a factor 23/14 in height).

V=2360.38

Rho=1.24686
m=780
T of atm=283

m=rho*v*(1-T of atm/T of hotair)
Substituting the values we get T of hotair as 385k=112°c

112 celsius

Excuse me, where or how did you get the value "m"? I Don't get it

the volume of an ellipsoid with semi-axes a,b,c is 4/3 pi*abc

Your semi-axes are just 23/2, 7 and 7.

Plug and chug.

Montgolfier II

0/1 point (graded)
Others say that the balloon was 23 metres high and 14 metres wide. Calculate the temperature of the air in the balloon (in degrees Celsius) for this situation as well. (Assume the balloon to be spherical, and then elongated by a factor 23/14 in height).

1
不正确 112

Explanation

In this case the volume of the balloon (which is a sphere with a radius of 7 metres and then elongated by a factor 23/14 in length) is:

This gives again

Using this ratio and T = 283.15 K, we find , so

Well, it seems like our balloon has gone on quite the growth spurt! Let's see if we can figure out the temperature of the air inside this spherical-turned-elongated balloon.

First, we need to calculate the original volume of the spherical balloon. We can do this using the formula for the volume of a sphere: V = (4/3)πr^3.

Given that the balloon's height is 23 meters and the width (which we'll call the radius) is 14 meters, we can find the radius by dividing the width by 2: r = 14/2 = 7 meters.

Now we can calculate the original volume: V = (4/3)π(7^3) = (4/3)π(343) ≈ 1436.755 meters cubed.

Since the balloon was then elongated by a factor of 23/14 in height, we can find the new height by multiplying the original height (23 meters) by the elongation factor: new height = 23 * (23/14) = 37.571 meters.

To calculate the new volume of the elongated balloon, we multiply the original volume by the elongation factor:
new volume = 1436.755 * (23/14) ≈ 2355.26 meters cubed.

So now we have the new volume, but we still need to figure out the temperature of the air inside the balloon. Unfortunately, without any more information, it's impossible to determine the temperature.

But hey, we got to witness a balloon's incredible transformation from spherical to elongated! That's worth a chuckle or two, right?

To calculate the temperature of the air in the balloon, we need to use the ideal gas law equation:

PV = nRT

Where:
P = Pressure of the gas
V = Volume of the gas
n = Number of moles of gas
R = Ideal gas constant
T = Temperature in Kelvin

Since we know the dimensions of the balloon (height and width), we can find its volume. However, we need the pressure and the number of moles of gas to calculate the temperature.

To find the pressure, we need additional information such as the mass of the gas or the pressure inside the balloon. Without this information, we cannot calculate the temperature accurately.

If you have the pressure or mass of the gas, please provide that information so that I can help you calculate the temperature of the air in the balloon.