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andrey2020 [161]
3 years ago
10

For a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. The functi

on v=18000/p relates the volume in cubic inches and pressure in pounds per square inch of a gas. What is the volume when the pressure is 900 pounds per square inch?
Mathematics
2 answers:
malfutka [58]3 years ago
7 0
The relation between pressure and volume is given as
v = 18000/p
where
v = volume, in³
p = pressure, lb/in²

When the pressure is p = 900 lb/in², then the volume is
v = 18000/900 = 20 in³

Answer: 20 in³
NARA [144]3 years ago
7 0

Answer:

Volume of the gas is 20 cubic inches.

Step-by-step explanation:

Inverse proportion: Let x and y be two quantities are said to be inverse proportion or inversely proportional if one quantity increases at the same rate the other decreases.

x \propto \frac{1}{y} or

x = \frac{k}{y} ⇒k =xy   where k is constant.

Since, it is given that the volume of gas is inversely propotional to its pressure.

Given the function:  

v = \frac{18000}{p}           ......[1] ; where volume in cubic inches and pressure in pounds per square.

To find the volume in cubic inches.

The pressure (p) = 900 pounds per square inch.

Substitute the value of p in [1];

v = \frac{18000}{900}= 20 in^3

Therefore, the volume(v) = 20 cubic inches when the pressure is 900 pounds per square inch.

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