L.P.G cylinders can withstand a pressure of 14.9 atmosphere. The pressure gauge of the cylinder indicate 12 atmospheres at 27oC. Due to a sudden fire in the building the temperature rises. At what temperature will the cylinder explode.
Answers
Answer:
Related Questions
A gas cylinder containing cooking gas can withstand a pressure of 14.9 atm. The pressure gauge of the cylinder indicates 12 atm at 27oC . Due to sudden fire in the building, its temperature starts rising. At what temperature cylinder will explode?
Answer
VerifiedVerified
85.5K+ views
11.3k+ likes
Hint: In the above situation of a gas cylinder, the volume remains constant, the number of moles of gases in the cylinder will not change, so that is also constant.
Thus, we can apply Gay-Lussac Law of gaseous state, which says- for the fixed amount of gas, at constant volume, pressure of gas is directly proportional to Temperature of that gas.
PαT
Complete step by step answer:
The above question has a gas cylinder, and we know that the gas cylinder has a metal container, which has fixed volume, and the amount of gas inside the cylinder will be fixed, that means moles of gases will be fixed.
Now, we know ideal gas equation is:
PV=nRT
This is derived from different gas laws, one among these gas laws is Gay-Lussac law.
It states that for the fixed amount of gas, at constant volume, pressure of gas is directly proportional to Temperature of that gas.
PαT
Now, we know for the same container and situation, if you have 2 conditions for pressure, then we will get 2 different temperatures corresponding to each pressure. So we can write the relation of pressure and temperature as:
P1P2=T1T2
In question, given data is:
P1=12atmP2=14.9atm
Explanation:
mark brainliest pls