Suppose a gas-filled incandescent light bulb is manufactured from regular glass

Question

Suppose a gas-filled incandescent light bulb is manufactured from regular glass and with atmospheric pressure in it at 20.00°C. Its average temperature when hot is 62.0°C. Neglecting any change in volume due to thermal expansion or gas leaks, its gauge pressure is calculated to be 0.1700 atm. The actual final pressure for the light bulb will be less than calculated because the glass bulb will expand. What will the actual final gauge pressure be, taking this into account? The coefficient of volume expansion for regular glass is 27x10^6/°C. (Give your answer to 4 decimal places.)

______atm

Explanation / Answer

Here ,

T1 = 20 degree C = 293 K

hot temperature , T2 = 62 degree C = 335 K

P1g = 0.17 atm

let the final gause pressure is Pg2

using ideal gas euqation

P1/T1 = P2/T2

(1 + P1g)/T1 = (1 + P2g)/T2

(1 + 0.17)/293 = (1 + P2g)/335

P2g = 0.34 atm

the actual final gauge pressure is 0.34 atm

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