Question

# A balloon blown with 1 mol of a gas, has a volume of 480 ml at 5∘C. If the balloon is filled to 78 th of its maximum capacity, then which of the following is/ are correct? The balloon will burst at 30∘C The pressure of the gas inside the balloon at 5∘C is 47.5 atm The minimum temperature at which the balloon will burst is 47.71∘C The pressure of gas when balloon burst at minimum temperature is 50 atm.

Solution

## The correct options are B The pressure of the gas inside the balloon at 5∘C is 47.5 atm C The minimum temperature at which the balloon will burst is 47.71∘C Max capacity of balloon =87×480=548.57 ml Also, V1=480 ml, T1=278K, n=1 mol ∵V1T1=V2T2 ⇒480278=548.57T2 ⇒T2=317.71K=44.71∘C From PV=nRT P×4801000=1×0.0821×278 ⇒P=47.5 atm

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