Respuesta :
Answer:
3.6atm
Explanation:
Given parameters:
Initial pressure = 1.5atm
Initial temperature = 25°C = 25 + 273 = 298K
Final temperature = 450°C = 450 + 273 = 723K
Unknown:
Final pressure = ?
Solution:
To solve this problem, we use the combined gas law and we assume a constant volume. The expression to solve this is given below;
[tex]\frac{P_{1} }{T_{1} }[/tex] = [tex]\frac{P_{2} }{T_{2} }[/tex]
P and T are temperature values
1 and 2 are initial and final states
Insert the parameters and solve;
[tex]\frac{1.5}{298}[/tex] = [tex]\frac{P_{2} }{723}[/tex]
P₂ = 3.6atm
The new pressure when the aerosol can is heated to 450°C is 3.64atm.
HOW TO CALCULATE NEW PRESSURE:
- The new pressure can be calculated by using the formula below:
P1/T1 = P2/T2
Where;
- P1 = initial pressure (atm)
- T1 = initial temperature (K)
- P2 = final pressure (atm)
- T2 = final temperature (K)
- According to this question, P1 = 1.5atm, T1 = 25°C + 273 = 298K, P2 = ?, T2 = 450°C + 273 = 723K
- 1.5/298 = P2/723
- 723 × 1.5 = 298 × P2
- 1084.5 = 298P2
- P2 = 1084.5 ÷ 298
- P2 = 3.64atm
- Therefore, the new pressure when the aerosol can is heated to 450°C is 3.64atm.
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