Question

The pressure inside a compressed gas cylinder is 144 atm at 48°C. What will the pressure inside the cylinder be after it is cooled to 25°C? ?
a. 134 atm
b. 276 atm
c. No right choice.

Answer 1

Answer:

134 atm

Explanation:

• Based on the pressure law, the pressure of a gas varies directly proportionally to the absolute temperature at a constant volume.

• Therefore; we are going to use the equation;

$\frac{P1}{T1}=\frac{P2}{T2}$

In this case;

Initial pressure, P1 = 144 atm

Initial temperature, T1 (48°C) = 321 K

Final temperature, T2 (25°C) = 298 K

We need to find the final pressure,

Therefore;

P2 = (P1/T1)T2

    = (144/321)× 298 K

    = 133.68 atm

   = 134 atm

Therefore, the new pressure will be 134 atm.