If 2 L of gas has a pressure of 6 atm at 27⁰C. what is the temperature in Celsius if the pressure is decreased to 2.5 atm and the volume is changed to 0.66L?

Respuesta :

Answer:

3.7 degree celsius

Explanations:

According to ideal gas equation;

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

where:

• P1 and P2 are the initial and final pressure

,

• V1 and V2 are the initial and new volume

,

• T1 and T2 are the initial and final temperature

Given the following parameters

[tex]\begin{gathered} P_1=6atm \\ V_1=2L \\ T_1=27^0C \\ P_2=2.5atm \\ V_2=0.66L \end{gathered}[/tex]

Required

Final temperature T2

Substitute

[tex]\begin{gathered} T_2=\frac{P_2V_2T_1}{P_1V_1} \\ T_2=\frac{2.5\times0.66\times27}{6\times2} \\ T_2=\frac{44.55}{12} \\ T_2\approx3.7^0C \end{gathered}[/tex]

Therefore the new temperature in Celsius is 3.7 degree celsius