What is the new temperature (in K ) of a closed gas system when it's volume is compressed from 5.6 L to 2.3 L and the initial temperature was 455 °K
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Ответ:
1) Yes
2)![6.34\cdot 10^9 N](/tpl/images/0601/6888/4add4.png)
Explanation:
1)
To solve this part, we have to calculate the pressure at the depth of the batyscaphe, and compare it with the maximum pressure that it can withstand.
The pressure exerted by a column of fluid of height h is:
where
h is the height of the column of fluid
Here we have:
h = 5440 m is the depth at which the bathyscaphe is located
Therefore, the pressure on it is
Since the maximum pressure it can withstand is 60 MPa, then yes, the bathyscaphe can withstand it.
2)
Here we want to find the force exerted on the bathyscaphe.
The relationship between force and pressure on a surface is:
where
p is hte pressure
F is the force
A is the area of the surface
Here we have:
The bathyscaphe has a spherical surface of radius
r = 3 m
So its surface is:
Therefore, we can find the force exerted on it by re-arranging the previous equation: