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An aerosol can contains gases under a pressure of 4.50 atm at 20.0 degrees Celsius. If the can is left on a hot, sandy beach, the pressure of the gases increases to 4.78 atm. What is the Celsius temperature on the beach? HINT: Temperature must be in Kelvin while solving the problem.

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Answer: 40 degrees Celsius

Explanation:  

Equation to use: P1/T1   = P2/T2

First: add 273 K to 20 C to get 293        

Then plug the numbers into the equation: 4.50/293 = 4.78/x    

Then you want to cross multiply: 4.50x = 1400.54

Then solve for x:  x = 313 K

Then convert back to celsius: 313 – 273 = 40 C

The resultant temperature on the beach is 294.39 K.

What is the relation between temperature and pressure?

Relation between the temperature and pressure of gas will be explained by using the ideal gas equation PV = nRT.

And for this question, required equation is:

P₁/T₁ = P₂/T₂, where

  • P₁ & T₁ are the initial pressure and temperature.
  • P₂ & T₂ are the final pressure and temperature.

On putting values from question, we get

T₂ = (4.78)(20) / (4.50) = 21.24 degrees Celsius

T₂ = 21.24 degrees Celsius = 294.39 K

Hence required temperature is 294.39 K.

To know more about ideal gas equation, visit the below link:

https://brainly.com/question/3778152

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