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A gas cylinder containing cooling gas can withstand a pressure of 14.9 atmosphere. The pressure gauge of cylinder

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A gas cylinder containing cooling gas can withstand a pressure of 14.9 atmosphere. The pressure gauge of cylinder indicates 12 atmospheres at 27°C. Due to sudden fire in the building the temperature starts rising. The temperature at which cylinder explodes is :

(a) 87.5°C

(b) 99.5°C

(c) 115.5°C

(d) 135.5°C

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(b) 99.5°C

Explanation:

From Charle's law, P1/T1 = P2/T2

12/(273 + 27) = 14.9/T2

T2 = 14.9 x 300/12 = 372.5 K

= 372.5 – 273 = 99.5°C

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