A 2.0 L bag of potato chips in Denver is that 15 C0 print 82 ATM. The same bag is brought to the top of long peaks in the cold winter day. If the back and only spent 2.5 L before exploding and along peak has a temperature of negative 5C and a pressure of 0.45 ATM for the bag explode

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.A 2.0 L bag of potato chips in Denver is at 15oC and 0.82 atm. The same bag is brought to the top of Longs Peak on a cold winter day. If the bag can only expand to 2.5 L before exploding and Longs Peak has a temperature of -5oC and a pressure of 0.45atm, will the bag explode? Use the combined gas law to prove this to yourself

answer : The bag will explode

Explanation:

Given data :

Volume of bag ( v1 ) = 2 liters

Initial pressure ( p1 ) = 0.82 atm

Initial temp ( T1 ) = 15 + 273 = 288 k

Final Pressure on long peak (P2) = 0.45 atm

Final temp on Long peak   (T2) = (273 - 5 ) K = 268 K

Determine the Final volume in long peak to know if the bag will explode

applying the gas laws

P1v1 / T1  = P2V2 / T2

V2 = p1*v1*T2 / p2 *T1

V2 = ( 0.82 * 2 * 268 ) / ( 0.45 * 288 )

    = 3.39 Liters

since final volume ( V2 ) > ( v1 )  the bag will explode

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