Answer:
To calculate the new pressure in the cylinder, we can use the ideal gas law, which states:
PV = nRT
Where:
P = Pressure
V = Volume
n = Number of moles
R = Gas constant
T = Temperature
In this case, we can assume the volume and the number of moles of gas are constant. Therefore, we can rewrite the equation as:
P1/T1 = P2/T2
P1 = Initial pressure
T1 = Initial temperature
P2 = Final pressure (what we want to find)
T2 = Final temperature
Let's plug in the values:
P1 = 135 atm
T1 = 23°C = 23 + 273.15 = 296.15 K
T2 = 450°C = 450 + 273.15 = 723.15 K
Now we can solve for P2:
P2 = (P1 * T2) / T1
= (135 atm * 723.15 K) / 296.15 K
≈ 329.82 atm
Therefore, the new pressure in the cylinder, after the temperature increase, is approximately 329.82 atm.
Explanation:
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Verified answer
Answer:
To calculate the new pressure in the cylinder, we can use the ideal gas law, which states:
PV = nRT
Where:
P = Pressure
V = Volume
n = Number of moles
R = Gas constant
T = Temperature
In this case, we can assume the volume and the number of moles of gas are constant. Therefore, we can rewrite the equation as:
P1/T1 = P2/T2
Where:
P1 = Initial pressure
T1 = Initial temperature
P2 = Final pressure (what we want to find)
T2 = Final temperature
Let's plug in the values:
P1 = 135 atm
T1 = 23°C = 23 + 273.15 = 296.15 K
T2 = 450°C = 450 + 273.15 = 723.15 K
Now we can solve for P2:
P1/T1 = P2/T2
P2 = (P1 * T2) / T1
= (135 atm * 723.15 K) / 296.15 K
≈ 329.82 atm
Therefore, the new pressure in the cylinder, after the temperature increase, is approximately 329.82 atm.
Explanation: