The pressure inside an aerosol can is 3.80 atm at 25.0°C. If the temperature is increased from 25.0°C to 100.0°C, what would be
the pressure inside the can?

A. 5.05 atm
B. 4.76 atm
C. 15.2 atm
D. 3.04 atm

Respuesta :

Answer:

B. 4.76 atm

Explanation:

[tex]P_1[/tex] = Initial pressure = 3.8 atm

[tex]T_1[/tex] = Initial temperature = [tex]25+273.15\ \text{K}[/tex]

[tex]P_2[/tex] = Final pressure

[tex]T_2[/tex] = Final temperature = [tex]100+273.15\ \text{K}[/tex]

From Gay Lussac's law we have

[tex]\dfrac{P_2}{P_1}=\dfrac{T_2}{T_1}\\\Rightarrow P_2=P_1\dfrac{T_2}{T_1}\\\Rightarrow P_2=3.8\times\dfrac{100+273.15}{25+273.15}\\\Rightarrow P_2=4.76\ \text{atm}[/tex]

The pressure inside the can would be [tex]4.76\ \text{atm}[/tex].