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Gas stored in a tank at 273 K has a pressure of 388 kPa. The safe limit for the pressure is 825 kPa.
At what temperature will the gas reach this pressure?
580 K
1173 K
128 K
710 K
To find the temperature at which the gas will reach a pressure of 825 kPa, we can use the combined gas law equation:
P1/T1 = P2/T2
where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature.
Given:
P1 = 388 kPa
T1 = 273 K
P2 = 825 kPa
Rearranging the equation, we have:
T2 = (P2/P1) * T1
Substituting the given values:
T2 = (825 kPa / 388 kPa) * 273 K
T2 ≈ 580 K
Therefore, the gas will reach a pressure of 825 kPa at a temperature of approximately 580 K.