A 21.6 ml ball has a pressure of 879.3 torr at 331 K. If the temperatire spikes 410 K and the pressure increases to 956.2 torr what is the volume of the bal

Respuesta :

Answer:

24.6 mL is the volume of the ball when the temperature spikes 410 K and the pressure increases to 956.2 Torr

Explanation:

The combined gas equation is,

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

where,

[tex]P_1[/tex] = initial pressure inside a ball  = 879.3 Torr

[tex]P_2[/tex] = final pressure inside a ball = 956.2 Torr

[tex]V_1[/tex] = initial volume of ball = [tex]21.6 mL[/tex]

[tex]V_2[/tex] = final volume of gas = ?

[tex]T_1[/tex] = initial temperature of gas = [tex]331 K[/tex]

[tex]T_2[/tex] = final temperature of gas = [tex]410 K[/tex]

Now put all the given values in the above equation, we get:

[tex]\frac{879.3 Torr \times 21.6 mL}{331 K}=\frac{956.2 Torr\times V_2}{410 K}[/tex]

[tex]V_2=24.6 mL[/tex]

24.6 mL is the volume of the ball when the temperature spikes 410 K and the pressure increases to 956.2 Torr