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A rigid cylinder with a movable piston contains a sample of hydrogen gas. At 350.
K, this sample has a pressure of 210. kPa and a volume of 9.50 L. What is the
volume of this sample at STP? (Round your answer to correct number of sig figs)

Respuesta :

Answer: The volume of this sample at STP is 15.4 L

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 of gas =  210 kPa

[tex]P_2[/tex] = final pressure of gas = 101.3 kPa ( at STP)

[tex]V_1[/tex] = initial volume of gas = 9.50 L

[tex]V_2[/tex] = final volume of gas =  ? ( at STP)

[tex]T_1[/tex] = initial temperature of gas = 350 K

[tex]T_2[/tex] = final temperature of gas = 273 K  ( at STP)

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

[tex]\frac{210\times 9.50}{350}=\frac{101.3\times V_2}{273}[/tex]

[tex]V_2=15.4[/tex]

The volume of this sample at STP is 15.4 L

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