Question

Initial pressure of a gas is 900 MMHG at 27°C if the final pressure is 3.59×10 to the power four find the final temperature in Celsius

Answer 1

Using Gay-Lussac's law, we relate the initial and final pressures to the initial and final temperatures of a gas. We calculate the final temperature in Kelvin and convert it to Celsius to find the answer.

Step-by-step explanation:

To calculate the final temperature of a gas using its initial and final pressures, and knowing one of the initial or final temperatures, we can apply the Gay-Lussac's law, which states that the pressure of a gas is directly proportional to its temperature when the volume and the amount of gas are held constant. In this case, the initial pressure (P1) is 900 mmHg at an initial temperature (T1) of 27°C which corresponds to 300 Kelvin (as we need to convert Celsius to Kelvin by adding 273). If the final pressure (P2) is given as 3.59×10⁴ mmHg, to find the final temperature in Kelvin (T2) we use the formula P1/T1 = P2/T2. After finding T2, we convert it back to Celsius by subtracting 273.