Answer:
B
Step-by-step explanation:
Since p and v vary inversely then the equation relating them is
p = [tex]\frac{k}{v}[/tex] ← k is the constant of variation
to find k use the condition p = 8 when v = 40
k = pv = 8 × 40 = 320
⇒ p(v) = [tex]\frac{320}{v}[/tex] → B
Answer:
B.[tex]p(v)=\frac{320}{v}[/tex]
Step-by-step explanation:
We are given that
The pressure of gas p(v) varies inversely with the volume of gas v.
Pressure of gas measures=[tex]8kg/cm^3[/tex]
Volume of gas=[tex]40cm^3[/tex]
We have to find the equation that can be used to find the pressure of the gas when its volume is changed.
According to question
p(v)[tex]\propto\frac{1}{v}[/tex]
[tex]p(v)=\frac{k}{v}[/tex]
Where k=proportionality constant
Substitute the given values then, we get
[tex]8=\frac{k}{40}[/tex]
[tex]k=8\times 40=320[/tex]
Substitute the value of k then, we get
[tex]p(v)=\frac{320}{v}[/tex]
Hence,option B is true.
