A certain amount of gas filled in balloon of volume 400 mL at a pressure of 0.5 bar. Calculate the pressure of gas when the the balloon is expanded to 600 mL at 27 °C.
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Answer:
Maximum capacity of balloon =
7
8
×480=548.57mL
Let T be the temperature at which the volume of balloon becomes 548.57mL and the balloon will burst.
Given:-
V
1
=480mL
V
2
=548.57mL
T
1
=5℃=(273+5)K=278K
T
2
=T(say)=?
Now, using Charle's Law,
V∝T
⇒
V
2
V
1
=
T
2
T
1
⇒
548.57
480
=
T
278
⇒T=
480
278×548.57
⇒T=317.71K=44.71℃
Hence the balloon will burst at 44.71℃.
(a) The balloon will not burst at 30℃.
(b) The minimum temperature above which it will burst is 44.71℃.
Explanation:
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