Question

The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 25 kg/cm^2 when its volume is 200cm^2. Which equation can be used to find the pressure of the gas when the volume is changed?
A.p(v)=8/v
B.p(v)=8v
C.p(v)=5000/v
D.p(v)=5000v

Answer 1

Answer:

C.p(v)=5000/v

Step-by-step explanation:

Got it right on the test.

Answer 2

The equation that can be used to find the pressure of the gas when the volume is changed is P(v) = 500/v

Given:

p(v) = pressure of a gas

v = volume of the gas

P(v) varies inversely with v

let

k = constant of proportionality

The equation:

P(v) = k/v

If P(v) = 25 kg/cm² and v = 200cm²

Therefore,

P(v) = k/v

25 = k / 200

25 × 200 = k

k = 5,000

substitute the value of k into the equation

So,

P(v) = 500/v

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