What Is the Net Force on Each Side of a Heated Sealed Box?

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SUMMARY

The net force on each side of a heated sealed box containing air is determined by the change in pressure due to thermal expansion. In this scenario, a cubic metal box with a side length of 20 cm is heated from 300K to 400K, resulting in an internal pressure increase from 1 atm to approximately 1.33 atm (135100 Pa). The net outward force on each side of the box, calculated using the formula F = (P1 - Patm) * S, yields a total force of 8106 N when considering the atmospheric pressure outside the box.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV = nRT)
  • Knowledge of pressure and temperature relationships in gases
  • Basic principles of thermal expansion
  • Familiarity with force calculations in physics
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  • Study the Ideal Gas Law and its applications in thermodynamics
  • Explore the concept of thermal expansion in solids and gases
  • Learn about pressure differentials and their effects on structures
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jin
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thermal expansion?

I need help asap! the question goes like this...

A cubic metal ox with sides of length 20cm contains air at pressure of 1 atm 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? :confused:
 
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PV = nRT --> P/T = nR/V = const.
P0= 1 atm T0=300k
P1= P0*T1/T0 = 4/3 atm = 135100 Pa
F= (P1 - Patm)* S = (135100 Pa - 101325 Pa)* (0.2m^2 * 6) = 8106 N

Bye Final
 
jin said:
what is the net force on each side of the box?
Well, I presume the net force on each side is zero! :smile:

But I suppose they want you to find the outward force on each side of the box due to the pressure of the enclosed air.

If you can assume that this box is itself in air at atmospheric pressure, then you can find the net force due to air pressure by subtracting the outside air pressure, like Final did.
 

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