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The instruction booklet for your pressure cooker indicates that its highest setting is 13.5 psi . You know that standard atmospheric pressure is 14.7 psi, so the booklet must mean 13.5 psi above atmospheric pressure. At what temperature in degrees Celsius will your food cook in this pressure cooker set on "high"?

User Kojo
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1 Answer

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Answer: The temperature in the pressure cooker set on high is 250.71°C

Step-by-step explanation:

STP conditions:

Pressure = 14.7 psi

Temperature = 273 K

To calculate the final temperature of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,


(P_1)/(T_1)=(P_2)/(T_2)

where,


P_1\text{ and }T_1 are the initial pressure and temperature of the gas.


P_2\text{ and }T_2 are the final pressure and temperature of the gas.

We are given:


P_1=14.7psi\\T_1=273K\\P_2=(14.7+13.5)psi=28.2psi\\T_2=?

Putting values in above equation, we get:


(14.7psi)/(273K)=(28.2psi)/(T_2)\\\\T_2=(28.2* 273)/(14.7)=523.71K

Converting the temperature from kelvins to degree Celsius, by using the conversion factor:


T(K)=T(^oC)+273


523.71=T(^oC)+273\\T(^oC)=(523.71-273)K=250.71^oC

Hence, the temperature in the pressure cooker set on high is 250.71°C

User Eric Workman
by
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