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A mass of gas under constant pressure occupies a volume of 0.5 m^3 at a temperature of 20^°c using the formula for cubic expansion what will be the volume at a temperature of 45°c without a change in pressure

Respuesta :

the answer is A.0.5457875m3
transitionstate

Answer:

                    0.542 m³

Solution:

             Lets suppose the gas is acting ideally, then according to Charle's Law, "The volume of a fixed mass of gas at constant pressure is directly proportional to the absolute temperature". Mathematically for initial and final states the relation is as follow,

                                                V₁ / T₁  =  V₂ / T₂

Data Given;

                  V₁  =  0.5 m³

                  T₁  =  20 °C + 273.15  =  293.15 K

                  V₂  =  ??

                  T₂  =  45 °C + 273.15  =  318.15 K

Solving equation for V₂,

                         V₂  =  V₁ T₂ / T₁

Putting values,

                         V₂  =  (0.5 m³ × 318.15 K) ÷ 293.15 K

                         V₂  =  0.542 m³

Result:

           As the temperature has been increased, therefore, the volume is also increased from 0.5 m³ to 0.542 m³

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