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.
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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