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A certain amount of gas at 18.0°C and at a pressure of 0.900 atm is contained in a glass vessel. Suppose that the vessel can withstand a pressure of 1.90 atm. How high can you raise the temperature of the gas without bursting the vessel? In other words, at what temperature will the glass vessel shatter, in degrees Celsius.

Respuesta :

Answer:

The temperature at which the glass vessel shatter is = 341.33°c

Explanation:

Initial temperature [tex]T_{1}[/tex] = 18 °c = 291 K

Initial Pressure [tex]P_{1}[/tex] = 0.9 atm

Final pressure [tex]P_2[/tex] = 1.9 atm

From ideal gas equation

P V = m R T

Here volume & mass & gas constant is constant so Pressure is directly proportional to the temperature.

[tex]\frac{P_{2} }{P_{1} } = \frac{T_2}{T_1}[/tex]

[tex]\frac{1.9}{0.9} = \frac{T_2}{291}[/tex]

[tex]T_2[/tex] = 613.33 K = 341.33°c

Therefore the temperature at which the glass vessel shatter is = 341.33°c

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