Answer: The temperature in degree Celsius is 301.31°C
Explanation:
To calculate the temperature, we use the equation given by ideal gas, which is:
[tex]PV=nRT[/tex]
P = pressure of the gas = 670 torr = 0.882 atm (Conversion factor: 1 atm = 760 torr)
V = volume of gas = 42.5 L
n = number of moles of gas = 0.795 mol
R = Gas constant = [tex]0.0821\text{ L atm }mol^{-1}K^{-1}[/tex]
T = temperature of gas
Putting values in above equation, we get:
[tex]0.882atm\times 42.5L=0.795mol\times 0.0821\text{ L atm }mol^{-1}K^{-1}\times T\\\\T=574.31K[/tex]
Converting the temperature from kelvins to degree Celsius, by using the conversion factor:
[tex]T(K)=T(^oC)+273[/tex]
[tex]574.31=T(^oC)+273\\T(^oC)=301.31^oC[/tex]
Hence, the temperature in degree Celsius is 301.31°C
