272.43 K or -0.718°C
We are given;
The initial pressure,P1 as 761 mmHg
Initial temperature, T1 as 0.00°C which is equivalent to 273.15 K
Final pressure as 759 mmHg
We are required to calculate the final temperature;
According to pressure law, the pressure of a gas and absolute temperature are directly proportional at constant volume.
That is; Pα T
Therefore, at varying pressure and temperature,
[tex]\frac{P1}{T1}=\frac{P2}{T2}[/tex]
To get final temperature;
[tex]T2=\frac{P2T1}{P1}[/tex]
[tex]T2=\frac{(759 mmHg)(273.15K)}{761 mmHg}[/tex]
[tex]T2=272.43K[/tex]
Therefore, the final temperature will be 272.43 K or -0.718°C