What is the temperature in kelvin of a gas if it is allowed to expand from 1.50 L to 4.50 L? The initial temperature is 10.0°C and pressure is constant throughout the change. Which equation should you use?
Answer: 1) 849 K
2) \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)
Explanation:
Charles' Law: This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.
\(V\propto T\) (At constant pressure and number of moles)
\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)
\(V_1\)= initial volume = 1.50 L
\(V_2\)= final volume = 4.50 L
\(T_1\)= initial temperature =\(10^0C=(10+273)K=283K\)
\(T_2\)= final temperature =?
\(\frac{1.50 }{283}=\frac{4.50}{T_2}\)
\(T_2=849K\)