Answer:
1270 Psi
Explanation:
We are given;
- Pressure in the tank, P₁ as 422 psi
- Temperature in the tank, T₁ as 20.0 K
- New temperature in the tank, T₂ as 60.0 K
We are required to determine the pressure at 60.0 K
- We are going to use the pressure law;
- According to the pressure law, the pressure of a gas is directly proportional to the temperature at constant volume.
- That is; [tex]P\alpha T[/tex]
- Thus, [tex]\frac{P}{T}=constant[/tex]
- At different pressures and temperature;
[tex]\frac{P1}{T1} =\frac{P2}{T2}[/tex]
- Thus, rearranging the formula;
[tex]P2=\frac{P1T2}{T1}[/tex]
Hence;
[tex]P1=\frac{(422Psi)(60K)}{20}[/tex]
[tex]P1=1266Psi[/tex]
Therefore;
P₂=1266 Psi
= 1270 Psi
Thus, the pressure at 60.0 K is 1270 Psi
