A balloon blow up with 1 mole of a gas, has a volume of 480 ml to 5 ∘ C . If the balloon is filled to ( 8 7 ) th of its maximum capacity ( R = 0.082 L atm / K / mol ). The minimum temperature at whi

Question

A balloon blow up with 1 mole of a gas, has a volume of 480 ml to 5 ∘ C . If the balloon is filled to ( 8 7 ​ ) th of its maximum capacity ( R = 0.082 L atm / K / mol ). The minimum temperature at which the balloon will burst is (in ∘ C ).

TestHub · Accepted Answer

Let balloon burnt when it volume become V ml.

So, initially, $T_{1} = 278$

$V_{1} = \frac{7}{8} V$

$∵ \frac{V _{1}}{T _{1}} = \frac{V _{2}}{T _{2}}$ $\frac{7}{8} \times \frac{V}{278} = \frac{V}{T _{2}} \Rightarrow T_{2} = 317.71 K = 44.7 1^{\circ} C$ .

Chemistry - Ideal Gas Question with Solution | TestHub

Doubts & Discussion