What is the temperature of 0.80 mol of a gas stored in a 275 mL cylinder at 175 kPa?

The answer to your question is   T = 7.25 °K  

Explanation:

Data

Temperature = ?

moles = 0.80

volume = 275 ml

pressure = 175 kPa

constant of ideal gases = 0.082 atm l/ mol °K

Process

1.- Use the ideal gas law to solve this problem

                  PV = nRT

-Solve for Temperature

                 T = PV / nR

2.- Convert Pressure to atm

                  1 atm 101.325 kPa

                    x     175 kPa

                    x = (175 x 1) / 101.325

                    x = 1.73 atm

3.- Convert volume to liters

                   1000 ml 1 l

                    275 ml x

                      x = (275 x 1) / 1000

                      x = 0.275 l

4.- Find the temperature

                   T = (0.275 x 1.73) / (0.8 x 0.082)

-Simplification

                    T = 0.476 / 0.0656

-Result

                     T = 7.25 °K  

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