Answer:
164atm
Explanation:
Given parameters:
Initial pressure of tank = 150atm
Initial temperature of tank = 27°C = 27 + 273 = 300K
New temperature of tank = 55°C = 328K
Unknown:
New pressure of gas = ?
Solution:
From the combined gas law, at constant volume, the pressure of a given gas varies directly with the absolute temperature.
Mathematically;
[tex]\frac{P_{1} }{T_{1} }[/tex] = [tex]\frac{P_{2} }{T_{2} }[/tex]
P and T are pressure and temperature values
1 and 2 are the initial and new states
Insert the parameters and solve;
[tex]\frac{150}{300}[/tex] = [tex]\frac{P_{2} }{328}[/tex]
300P₂ = 150 x 328
P₂ = 164atm