Answer:
5.18 pounds per square inch
Complete question:
If the pressure is 6 pounds per square inch when the temperature is 440° F,find the pressure exerted when the temperature of the gas is 380°F.
Step-by-step explanation:
According to the Gay Lussac's Law:
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}[/tex]
where, P and T are the pressure and temperature of an enclosed ideal gas.
Given:
Initial pressure [tex]P_1[/tex] = 6 pounds per square inch
Initial Temperature [tex]T_1[/tex]=440° F
Final Temperature [tex]T_2[/tex]=380° F
Final Pressure [tex]P_2[/tex]=?
Substituting all values in the formula
[tex]\frac{6}{440} =\frac{P_2}{380}[/tex]
[tex]P_2[/tex] = [tex]\frac{6\times380}{440}[/tex]
[tex]P_2[/tex]= 5.18pounds per square inch