What is the Gauge Pressure Inside a Hot Gas-Filled Incandescent Light Bulb?

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SUMMARY

The gauge pressure inside a gas-filled incandescent light bulb at a temperature of 65.0 °C can be calculated using the formula (p/t)=(p'/t'). Given that the initial pressure is 1 atm (101,300 Pa) at 20.0 °C (293.15 K), the resulting gauge pressure when hot is approximately 116,850.06 Pa. The user expressed confusion regarding the differences between gauge pressure, atmospheric pressure, and absolute pressure, indicating a need for clarity in these concepts to correctly interpret the results.

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  • Understanding of gas laws and pressure-temperature relationships
  • Familiarity with the concepts of gauge pressure, atmospheric pressure, and absolute pressure
  • Basic knowledge of unit conversions, particularly between atmospheres and Pascals
  • Proficiency in algebraic manipulation of equations
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  • Study the Ideal Gas Law and its applications in real-world scenarios
  • Learn about the differences between gauge pressure, absolute pressure, and atmospheric pressure
  • Explore unit conversion techniques between different pressure units, such as atm and Pa
  • Practice solving problems involving temperature and pressure changes in gases
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Students in physics or chemistry courses, educators teaching gas laws, and anyone needing to understand pressure calculations in thermodynamic systems.

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Homework Statement



Suppose a gas-filled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure when the bulb has a temperature of 20.0 °C. Find the gauge pressure inside such a bulb when it is hot, assuming its average hot temperature is 65.0 °C.

Homework Equations



(p/t)=(p'/t') where the left hand side is initial pressure and temperature, the right is the when hot.

t= 293.15 K
t'=338.15 K

the gas inside is at atmospheric pressure.

The Attempt at a Solution



1atm= 1.013x^5 Pa[/B]

i use the formula above, and solve for p'

p' = (pt')/t

p'=(1.013x10^5)(338.15)/(293.15) (Pa*K)/(K) (the right stuff are the units of measurement used)

116850.0597 Pa.

However, I am not getting the answer. I never took a chemistry class, so I am unsure what the difference between gauge pressure/ atmospheric/ absolute pressure is and how to convert it.

I believe my formula is correct but I am not using the correct pressure values.
 
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Chet
 

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