Answer :
Final answer:
The canister can explode if heated to a high enough temperature and pressure. The warning on the canister is there to caution against exceeding the maximum temperature limit. When the canister is heated in a car that reaches a certain temperature, the new pressure inside the canister can be calculated using the ideal gas law.
Explanation:
(a) The can contains an amount of isobutane gas at a constant volume, so if the temperature is increased by heating, the pressure will increase proportionately. High temperature could lead to high pressure, causing the can to burst. (Also, isobutane is combustible, so incineration could cause the can to explode.)
(b) To determine the new pressure in the can, we can use the ideal gas law which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. We can rearrange the equation to solve for the new pressure:
- Convert the initial temperature to Kelvin: T = 24 + 273 = 297K
- Add 273 to the new temperature in Celsius: T = 50 + 273 = 323K
- Plug in the values: P1 * V1 = n * R * T1 and P2 * V1 = n * R * T2
- Since the volume is constant, we can cancel it out: P1 = P2 * T2 / T1
- Substitute the values: P1 = 360 kPa * 323K / 297K
- Calculate the new pressure: P1 = 391.9 kPa
Therefore, the new pressure in the can after being left in the car that reaches 50 °C is approximately 391.9 kPa.
Learn more about Ideal gas law here:
https://brainly.com/question/30458409
#SPJ11
