An empty pressure cooker of volume 10 litres contains air at temperature vof 27°C.It contains a whistle which has area of 0.1cm^2 and weight of 100 g.What should be the temperature of air inside so that whistle is just lifted up?
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Answer:
let the temperature of the air inside the Vista just lift up Be X
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GIVEN:
An empty pressure cooker of volume 10 litres contains air at temperature 27°C
.It contains a whistle which has area of 0.1cm^2 and weight of 100 g.
TO FIND :
What should be the temperature of air inside so that whistle is just lifted up?
SOLUTION :
◆Pressure to lift whistle,
P' = P + f / a
= P + mg / a
As, P - atmospheric pressure, 10^5
F - force, a- area
= 10^5Pa + {0.1 × 10 N} / (0.1 × 10^4 m2)
◆P'= 2 × 10^5 Pa.
◆For whistle to just lift,
Pw / Ts = Pc / Tc
(2 × 10^5 Pa) / 300 K = 10^5 Pa / Tc
◆Temperature in cooker,
Tc = 600 K = 600 -273 = 327℃.
ANSWER:
Temperature inside cooker should be = 327℃
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