A balloon is filled upto 3 / 4 text th of its maximum stretching capacity at 30° C. The temperature upto which the balloon can be safely heated at constant pressure is .

Question

A balloon is filled upto 3 / 4 text th of its maximum stretching capacity at 30° C. The temperature upto which the balloon can be safely heated at constant pressure is . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Let the maximum stretching capacity of the balloon is

V L

. From

V_{1} = 3 V /4 L T_{1} = 273 + 30 = 303 K

V_{2} = V L T_{2} = ?

From Charles law:

\frac{V _{1}}{T _{1}} = \frac{V _{2}}{T _{2}}

\frac{( \frac{3 V}{4} )}{303} = \frac{V}{T _{2}}

T_{2} = 404 K = 13 1^{\circ} C

Up to this temperature, balloon will not burst. It will burst when temperatures just exceeds this value. Hence,

13 1^{\circ} C

is the limiting temperature, up to which balloon can be heated safely.

Q. A balloon is filled upto 3/4th of its maximum stretching capacity at 30∘C. The temperature upto which the balloon can be safely heated at constant pressure is ______.

Q. A balloon is filled upto $3/ 4^{th}$ of its maximum stretching capacity at $3 0^{\circ} C$ . The temperature upto which the balloon can be safely heated at constant pressure is ______.