Answer: 179 K
Step-by-step explanation:
According to ideal gas equation:
![PV=nRT](https://img.qammunity.org/2021/formulas/physics/high-school/xmnfk8eqj9erqqq8x8idv0qbm03vnipq7i.png)
P = pressure of gas = 1.75 atm
V = Volume of gas = 21 L
n = number of moles = 2.5
R = gas constant =
![0.0821Latm/Kmol](https://img.qammunity.org/2021/formulas/chemistry/college/lrfckhcxrz16jyka569n65jplk2jrnikrv.png)
T = temperature in Kelvin = ?
![T=(PV)/(nR)](https://img.qammunity.org/2021/formulas/chemistry/high-school/ywv32bgmkwg8o6v9loufx5vtqjntav4xt4.png)
Putting the values , we get :
![T=(1.75atm* 21L)/(2.5* 0.0820 L atm/K mol)=179K](https://img.qammunity.org/2021/formulas/chemistry/middle-school/emaz5rtiq14pv81ginlh6u2i78mu1cx1v9.png)
Thus temperature in kelvin is 179 for 21 L of sulfur dioxide occupy if there are 2.5 mol of it at 1.75 atm