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

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SUMMARY

The discussion centers on calculating the net force on each side of a cubic metal box containing air at 1 atm and heated from 300K to 400K. Utilizing the ideal gas law, specifically the relationship \( \frac{P_2}{P_1}=\frac{T_2}{T_1} \), participants confirm that the pressure increases with temperature while volume remains constant. The net force on each side can be determined by applying the formula for pressure, which is defined as force divided by area. Thus, understanding the changes in pressure due to temperature variations is crucial for calculating the net force exerted on the box's sides.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of pressure as a force per unit area
  • Familiarity with temperature scales and conversions
  • Basic principles of thermodynamics
NEXT STEPS
  • Calculate pressure changes using the Ideal Gas Law at varying temperatures
  • Explore the relationship between pressure and force in different gas scenarios
  • Investigate the effects of volume constraints on gas behavior
  • Learn about real gas behavior versus ideal gas assumptions
USEFUL FOR

This discussion is beneficial for physics students, engineers, and anyone interested in thermodynamics and fluid mechanics, particularly those studying gas behavior under varying temperature and pressure conditions.

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

\frac{P_2}{P_1}=\frac{T_2}{T_1}

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?
 

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