How Is Air Pressure Calculated in a Crushed Can Experiment?

[bleedblue1234]

Homework Statement

A rectangular metal can with dimensions of 0.234 meters by 0.194 meters by 0.143 meters is used in a physics demonstration to show the force exerted by air pressure. A small quantity of water is poured into the can and brought to a boil. Then the can is capped and allowed to cool, which crushes the can. What is the total force exerted on the can by the air around it, assuming a perfect vacuum inside?

Homework Equations

1 atm = 101300 Pa

The Attempt at a Solution

so just find the area of each of the three sides and multiply by 2

so 2(.234*.194)+2(.194*.143)+2(.234*.143)
and so i got .2132 m^2

so then we know

101300 Pa = N/m^2

so 101300pa * .2132 m^2 = N

so N = 21594.16

am i right?

 

[Redbelly98]

Looks good!

 

[kerimek]

I cannot confirm or deny the accuracy of your calculations without further information, such as the density of water used and the temperature at which the air pressure is measured. However, your method appears to be logical and follows the correct equations. It is always important to double check your calculations and take into account any potential sources of error. Additionally, it may be helpful to consider the ideal gas law and the effect of temperature on air pressure in your calculations.