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10-03-2020
Mathematics

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The volume of a gas is directly related to the temperature of the gas. At 20 degrees Celsius a certain gas has a volume of 125 cubic centimeters. What will the new volume be at 50 degrees Celsius

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10-03-2020

Answer:

Step-by-step explanation:

When two variables are directly proportional, then an increase in the value of one variable would cause a corresponding increase in the value of the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the value of the other variable.

The volume of a gas is directly related to the temperature of the gas. If V represents volume, T represents temperature and k represents the constant of proportionality, the expression becomes

V = kT

At 20 degrees Celsius a certain gas has a volume of 125 cubic centimeters. It means that

125 = 20k

k = 125/20

k = 6.25

The equation becomes

V = 6.25T

When T = 50 degrees Celsius, the new volume would be

V = 6.25 × 50

V = 312.5 cubic centimeters

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