I have a cylinder shaped glass container that is 15 cm tall. It holds 100 cm^3 of nitrogen gas at 1 atm pressure (101.3 kPa) and 22 degrees C. I place a rubber stopper in the top so that no gas can escape. If a 40 N force is required to force the rubber stopper off the top of the flask, what temperature can I heat the nitrogen to with a Bunsen burner before the rubber stopper pops off

T₂ = 469.73 K = 196.73 °C

Explanation:

First we will find the surface area of rubber stop:

Now, we will find the final pressure required to remove the rubber stop:

Now, we use equation of state:

for constant volume due to rigid cylinder:

where,

P₁ = initial pressure = 101.3 KPa

P₂ = final pressure = 161.3 KPa

T₁ = Initial Temperature = 22°C = 295 K

T₂ = Final Temperature = ?

Therefore,

T₂ = 469.73 K = 196.73 °C

what are the options.

explanation: