14. A cylinder at 48.0 atm pressure and 17.0°C releases 35.0 mL of carbon dioxide gas into a
4.00 L container at 24.0°C. What is the pressure inside the container in kPa? [3]
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Respuesta :

59.78175 kPa is the pressure inside the container when a cylinder at 48.0 atm pressure and 17.0°C releases 35.0 mL of carbon dioxide gas into a 4.00 L container at 24.0°C.

What is an ideal gas equation?

An ideal gas equation states the relationship between the moles of the substance, temperature, pressure, and volume. The ideal gas equation is given as, PV=nRT

Given data:

[tex]P_1[/tex]=48.0 atm

[tex]V_1[/tex]=3T_1=17.0°C

[tex]P_2[/tex]=?

[tex]V_2[/tex]=4.00 L

[tex]T_2[/tex]=24.0°C

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

[tex]\frac{48.0 atm X 35.0 mL}{17.0} = \frac{P_2X 4000 ml L}{24.0}[/tex]

[tex]P_2[/tex]= 0.59 atm = 59.78175 kPa

Hence, 59.78175 kPa is the pressure inside the container when a cylinder at 48.0 atm pressure and 17.0°C releases 35.0 mL of carbon dioxide gas into a 4.00 L container at 24.0°C.

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