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  • A bottle is filled with air at atmospheric pressure and it is cooked at 350 C. If the cork can come out at 3 atmospheric pressure, then up to what temperature (in oC) should t

A bottle is filled with air at atmospheric pressure and it is cooked at 350 C. If the cork can come out at 3 atmospheric pressure, then up to what temperature (in oC) should the bottle be heated in order to remove the cork.

Option: 1

570


Option: 2

325


Option: 3

376


Option: 4

651


Answers (1)

best_answer

As we learned

Gay Lussac’s Law -

At constant volume the pressure P of a given mass of a gas is directly propotional to its absolute temperature  T.

- wherein

P\alpha T

\Rightarrow \frac{P}{T}= constant

\Rightarrow \frac{P_{1}}{T_{1}}= \frac{P_{2}}{T_{2}}

At costant volume

\frac{P_{1}}{T_{1}}= \frac{P_{2}}{T_{2}}      

(By Gay Lussac's law)

 

T_{2}= \left ( \frac{P_{2}}{P_{1}} \right )T_{1}

\\T_{2}= \left ( \frac{3P}{P} \right )\times \left ( 273+35 \right )\\ \ \ \ \ \ =3\times 308 = 924 k =651^{0}C

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