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An empty pressure cooker of volume 10 litres contain air at atmospheric pressure 10^5 Pa and temperature of 300 K. It contains a whistle which has area if 0.1 cm^2 and weight of 100 gm. What should be the Temprature of air inside so that the whistle is just lifted up? please need the steps of doing it

An empty pressure cooker of
volume 10 litres contain air at
atmospheric pressure 10^5 Pa and
temperature of 300 K. It contains a
whistle which has area if 0.1 cm^2
and weight of 100 gm. What should
be the Temprature of air inside so
that the whistle is just lifted up?
please need the steps of doing it

Grade:12

2 Answers

kshitij aggarwal
18 Points
8 years ago

First let us find the pressure at which whistle will be lifted. 

        P = mg / A

          = 105 Pa.

so it will be lifted at 300K only.

 If say the pressure inside the cooker at 300K be some other value,  then use P/  T1 = P2  / T2

nimo jar
11 Points
3 years ago
Pressure by whistle = Po + F / A = Po​ + mg/ A
= 105Pa + (0.1 * 10 N) / (0.1 * 104 m2)
= 2 * 105 Pa
Pressure inside cooker = 105Pa
for whistle to just lift, by gay lussacs law
Pwhistle / Tsurrounding = Pcooker / Tcooker
(2 * 105 Pa) / 300 K = 105 Pa / T
T = 600 K = 327oC

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