A sealed flask with a capacity of 2 dm³ contains 11g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minimum temperature at which the flask will burst is _________ $°C$ . [Nearest integer]

(Given: R = 8.3 JK^-1 mol^-1. Atomic masses of C and H are 12u and 1u, respectively)

(Assume that propane behaves as an ideal gas.)

<p>V = 2&nbsp;<math><mrow><mi mathvariant="script">l</mi></mrow></math>&nbsp;, n = 0.25 Moles, P = 2 × 106 Pa, R = 8.314 J/mol.k</p><p>PV = nRT</p><p><math><mrow><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>6</mn></mrow></msup><mo>×</mo><mn>2</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn><mn>5</mn><mo>×</mo><mn>8</mn><mo>.</mo><mn>3</mn><mn>1</mn><mn>4</mn><mo>×</mo><mi>T</mi></mrow></math></p><p>T = 1654.7&nbsp;<math><mrow><mo>≈</mo></mrow></math>&nbsp;1655 K</p>

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