A balloon is inflated to ${\frac{7}{8}}^{t h}$ its max. capacity at $27^{o} C$ .
i) Will it burst at $30^{o} C$ ?
ii) Calculate the minimum temperature at which it will burst.

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Solution

i) $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}} \to \frac{\frac{7}{8} V_{m a x}}{300} = \frac{V_{2}}{303} \to V_{2} < V_{1}$ would not brust
ii) $\frac{\frac{7}{8} V_{m a x}}{300} = \frac{V_{m a x}}{T_{2}} = T_{2} = 342$

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A balloon is inflated to 78th its max. capacity at 27oC.i) Will it burst at 30oC?ii) Calculate the minimum temperature at which it will burst.

i) V1T1=V2T2→78Vmax300=V2303→V2<V1 would not brustii) 78Vmax300=VmaxT2=T2=342

A balloon is inflated to ${\frac{7}{8}}^{t h}$ its max. capacity at $27^{o} C$ .
i) Will it burst at $30^{o} C$ ?
ii) Calculate the minimum temperature at which it will burst.

i) $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}} \to \frac{\frac{7}{8} V_{m a x}}{300} = \frac{V_{2}}{303} \to V_{2} < V_{1}$ would not brust
ii) $\frac{\frac{7}{8} V_{m a x}}{300} = \frac{V_{m a x}}{T_{2}} = T_{2} = 342$