Answer:
165 °C
Explanation:
Given data
Step 1: Convert the initial temperature to Kelvin
When working with gases, we always have to use the Kelvin scale. We can convert from Celsius to Kelvin using the following expression.
[tex]K = \°C + 273.15\\K = 602 + 273.15 = 875 K[/tex]
Step 2: Calculate the final temperature
We will use the Gay-Lussac's law.
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2}\\T_2 = \frac{P_2 \times T_1 }{P_1} = \frac{330 kPa \times 875K }{660kPa}=438K[/tex]
Step 3: Convert the final temperature to Celsius
[tex]K = \° C + 273.15\\ \° C = K - 273.15 = 438 - 273.15 = 165 \° C[/tex]
