Gas in a cylinder is maintained at $10 a t m$ pressure and $300 K$ temperature. The cylinder will explode if pressure of gas goes beyond $15 a t m$ . What is the maximum temperature to which gas can be heated?

400 K

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500 K

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450 K

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250 K

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Solution

The correct option is C $450 K$
Volume is constant till $15 a t m$ pressure. So,
$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$
$\frac{10}{300} = \frac{15}{T_{2}}$
$T_{2} = 450 K$

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