Question

for a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. the function $v = \frac{18,000}{p}$ 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?
200 in.³
20 in.³
0.05 in.³
0.5 in.³

Explanation:

Step1: Identify the given values

We are given the function \( V=\frac{18000}{P} \) and the pressure \( P = 900 \) pounds per square inch.

Step2: Substitute the value of P into the function

Substitute \( P = 900 \) into the formula \( V=\frac{18000}{P} \). So we have \( V=\frac{18000}{900} \).

Step3: Simplify the expression

Simplify \( \frac{18000}{900} \). Dividing 18000 by 900, we get \( V = 20 \) cubic inches.

Answer:

20 in.³