The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. If the pressure is 6 pounds per square inch when the temperature is find the pressure exerted when the temperature of the gas is

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Respuesta :

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