Net Force on Sides of Metal Box with Air at 1atm & 400K

In summary, a cubic metal box with sides of length 20cm contains air at a pressure of 1atm and a temperature of 300K. The box is sealed and heated to 400K, with a constant volume. According to the ideal gas law, the pressure and temperature are proportional, so the pressure will increase to 1.33atm. The relationship between pressure and force is that pressure is equal to force divided by area. Therefore, the net force on each side of the box will increase by a factor of 1.33.
  • #1
ice87
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A cubic metal box with sides of length 20cm contains air at pressure of 1atm and a temperature of 300K. The box is sealed so that the volume is constant and heated to 400K. What is the net force on each side of the box?

thanks dudes.
 
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  • #2
Use PV=nRT
 
  • #3
You'll also need the definition of pressure. It's a force divided by an area.
 
  • #4
Yes, this is related to the ideal gas law (Pengwuino's formula), but really, all you need to know is the proportionality:

[tex]\frac{P_2}{P_1}=\frac{T_2}{T_1}[/tex]

To see why, consider that both before and after the gas is heated, it must satisfy the ideal gas law. Now, look at which variables are the same both before and after. Does the volume change? What about the number of particles in the box? Certainly the gas constant isn't going to change.

Once you determine the pressure, do you know the relationship between pressure and force?
 

FAQ: Net Force on Sides of Metal Box with Air at 1atm & 400K

What is net force?

Net force is the overall force acting on an object, taking into account both the magnitude and direction of all individual forces acting on the object.

How is net force calculated?

Net force is calculated by adding all the individual forces acting on an object, taking into account their direction. If the net force is zero, the object will remain at rest or continue moving at a constant velocity. If the net force is not zero, the object will accelerate in the direction of the net force.

What is the relationship between air pressure and net force?

In a closed system, such as a metal box with air at a constant temperature, the air pressure and net force are directly related. An increase in air pressure will result in a greater net force on the sides of the box, while a decrease in air pressure will result in a smaller net force.

How does temperature affect the net force on the sides of a metal box?

Temperature has a direct effect on the air pressure inside the metal box, which in turn affects the net force on the sides of the box. As temperature increases, the air molecules have more energy and collide more frequently, resulting in a higher air pressure and therefore a greater net force on the sides of the box.

What units are used to measure net force?

Net force is typically measured in units of Newtons (N) in the metric system or pounds (lbs) in the imperial system. It can also be measured in units of kilogram-force (kgf) or pound-force (lbf).

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