A gas in a balloon at constant pressure has a volume of 185 mL at -125*C. What is its volume at 31.0*C? Show all work including what equation or gas law you use.

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Respuesta :

Answer:

                    V =  379.80 mL

Explanation:

                    According to Charles' Law, "At constant pressure the volume of given amount of gas is directly proportional to the absolute temperature". Mathematically it is given as,

                                              V₁ / T₁  =  V₂ / T₂   -----  (1)

Data Given:

                   V₁  =  185 mL

                   T₁  =  -125 °C = 148.15 K    ∴ K = °C + 273.15

                   V₂  =  ?

                   T₂  = 31.0 °C = 304.15 K

Solving eq. 1 for V₂,

                                 V₂  =  V₁ × T₂ / T₁

Putting values,

                                 V₂  =  185 mL × 304.15 K / 148.15 K

                                V =  379.80 mL

Hence, with increase in temperature the volume has also increased.

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