Safety valve--the temperature drop effect caused by the discharge of gas and liquid

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Gentleman experts, let’s discuss this together – the temperature drop effect on the outlet pipeline caused by releasing air and liquid from the safety valve. For example, the safety valve is made of carbon steel, has a PN100 rating, a setting pressure of 6.2 Mpa (gauge pressure, the same below), an inner diameter of DN80, inlet and outlet dimensions of DN100/125, flange ratings of PN100/40, and an outlet back pressure of 0.05 Mpa ； Medium: natural gas; operating temperature: 20; operating pressure: 5.6 Mpa; outlet pipeline material: carbon steel. When the safety valve opens, the pressure at the outlet decreases due to high pressure, which causes a drop in temperature. Here comes the question: how much will the temperature drop at this point? Is it necessary to provide heat tracing for the pipes, or even replace the pipe material with stainless steel?