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What is the original pressure of a bike tire if the current pressure is 160 atm and the volume changed from 1000 mL to 700 mL. Please show work, including the equation you used.

User Venugopal M
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1 Answer

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26 votes

Step-by-step explanation:

Since we are working with ideal gases and we can consider that this change occurs at constant temperature, we can apply this equation:

Pi * Vi = Pf * Vf

Where Pi and Vi are the initial pressure and volume (before the change), and the Pf and Vf are the final pressure and volume (the current ones). We already know these values:

Pi = ? = unknown Vi = 1000 mL

Pf = 160 atm Vf = 700 mL

The original or initial pressure is our uknown, so we can solve our equation and get its value:

Pi * Vi = Pf * Vf

Pi = Pf * Vf/Vi

Pi = 160 atm * 1000 mL/(700 mL)

Pi = 229 atm

Answer: The original pressure of the bike tire is 229 atm.

User Jawand Singh
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