The steel cylinder is filled with nitrogen under a pressure of 1.2 * 10 ^ 7 Pa at a temperature of 17 degrees Celsius.

| April 2, 2021 | education

The steel cylinder is filled with nitrogen under a pressure of 1.2 * 10 ^ 7 Pa at a temperature of 17 degrees Celsius. The maximum allowable pressure that the cylinder can withstand is 2.0 * 10 ^ 7 Pa. What is the maximum temperature to which the cylinder can be mono heated?

Problem data: P1 (initial nitrogen pressure in a steel cylinder) = 1.2 * 10 ^ 7 Pa; T1 (initial temperature) = 17 ºС (290 К); P2 (maximum permissible nitrogen pressure) = 2 * 10 ^ 7 Pa; isochoric process.

We express the maximum temperature to which it will be possible to heat a steel cylinder from the equality: P1 / T1 = P2 / T2, whence T2 = P2 * T1 / P1.

Let’s calculate: T2 = 2 * 10 ^ 7 * 290 / (1.2 * 10 ^ 7) = 483.3 K or 210.3 ºС.

Answer: The cylinder can be heated to a maximum of 210.3 ºС.



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