When the pressure that a gas exerts on a sealed container changes from 53.0 Bar to 35.2 Bar, the temperature changes from _ C to 12.0 C. Use P1/T1=P2/T2

The answer to your question is    T1 = 429.12 °K

Explanation:

Data

Pressure 1 = 53 Bar

Pressure 2 = 35.2 Bar

Temperature 1 = ?

Temperature 2 = 12 °C

Formula

                P1/T1 = P2/T2

Process

1.- Convert temperature to °K

Temperature 2 = 12 + 273 = 285°K

2.- Substitution

              53/T1 = 35.2/285

3.- Solve for T1

               T1 = 53(285)/35.2

4.- Simplification

               T1 = 15105/35.2

5.- Result

                T1 = 429.12 °K

14 days is the half-life of phosphorus-32