SOLUTION: The volume of a given weight of gas varies directly as the absolute temperature T and inversely as the pressure P. If the volume is 5.72 m^3 when P is 237 kPa and T is 304 K, find

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The volume of a given weight of gas varies directly as the absolute temperature T and inversely as the pressure P. If the volume is 5.72 m^3 when P is 237 kPa and T is 304 K, find       Log On


   



Question 1182906: The volume of a given weight of gas varies directly as the absolute temperature T and inversely as the pressure P. If the volume is 5.72 m^3 when P is 237 kPa and T is 304 K, find the volume when P is 324 kPa and T is 347 K.
Answer by greenestamps(13195) About Me  (Show Source):
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The volume is directly proportional to the absolute temperature. When the absolute temperature is changed from 304 K to 347 K, the volume changes by a factor of 347/304.

The volume is inversely proportional to the pressure. When the pressure is changed from 237 kPa to 324 kPa, the volume changes by a factor of 237/324.

ANSWER: The new volume in m^3 is

%285.72%29%2A%28347%2F304%29%2A%28237%2F324%29

Use a calculator....