Question

A steel tank containing air at 15 atm pressure at 15° C is provided with a safety valve that will yield at a pressure of 30 atm. To what minimum temperature must the air be heated to blow the safety valve?

Answer 1

Given data:

                    $P_1 = 15atm, \\P_2 = 30 atm$

                    $T_1 = 15$°C

                    $T_1 = 15+273 = 288k, \\T_2 =?$

                        Volume = constant.

Since volume is constant, apply Charles law.

                    $P_1/T_1 = P_2/T_2\\15/288 = 30/T_2\\T_2 = 576k\\T_2 = 576-273\\T_2 = 303$°c                                                                      

This is the minimum temperature where the air to be heated to blow the safety valve.

Answer 2

Answer:

576 K or 303°C

Explanation:

The explanation is in the attachment.