Suppose a gas-filled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure(1 atm = 1.013 × 10° Pa) when the bulb has a temperature of 20.0 °C. Find the gauge pressure inside such a bulb when it ishot, assuming its average hot temperature is 70.0 °C.gauge pressure when hot:РаThe actual final pressure of the light bulb will be different than calculated in the first question because the glass bulb willexpand. What will the final actual gauge pressure be, taking this into account? The volume expansion coefficient for glassis ß = 2.700 x 10–5 °C-1.final gauge pressure, accounting for glass expansion:РаEnter numeric valueQuestion Credit: OpenStax College Physics

Using ideal gas law, absolute pressure when hot PVT=nRP2V2T2=P1V1T1P2=P1T1T2 V1=V2Gauge pressure P2,g=P2-Patm=PatmT1T2-Patm=1.013×105 Pa70.0+273 K20.0+273 K-1=0.173×105 Pa(b) Actual pressure after taking gas expansion into consideration P2'V2'T2=P1V1T1P2'=P1T2 T1V1 V2'=P1T2 T1V1 V11+βT2-T1=P1T2 T111+βT2-T1Actual gauge pressure P2,g'=P2'-Patm=PatmT2 T111+βT2-T1-Patm=PatmT2 T111+βT2-T1-1=1.013×105 Pa70+273 K20+273 K11+2.700×10-5/ °C70°C-20°C-1=0.171×105 Pa

Answered: Suppose a gas-filled incandescent light…