Respuesta :

Answer:

[tex]-273.15^{\circ}\text{C}[/tex]

Step-by-step explanation:

[tex]T_i[/tex] = Initial temperature of sodium gas = [tex]-78.5^{\circ}\text{C}[/tex]

[tex]\Delta T[/tex] = Change in temperature of sodium gas = [tex]-194.65^{\circ}\text{C}[/tex]

[tex]T_f[/tex] = Final temperature of sodium gas

Change in temperature of gas is given by

[tex]\Delta T=T_f-T_i\\\Rightarrow T_f=\Delta T+T_i\\\Rightarrow T_f=-194.65+(-78.5)\\\Rightarrow \Delta T=-273.15^{\circ}\text{C}[/tex]

The new temperature of sodium gas is [tex]-273.15^{\circ}\text{C}[/tex].