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The volume, V, of gas varies inversely with the pressure, P, on it. If the volume is 320 cm^3 under pressure of 40 kg/cm^2, what pressure has to be applied to have a volume of 200 cm^3?

Fill in the blank:

Answer: _________ kg/cm^2

User Wowest
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1 Answer

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The pressure
64kg/cm^(2) has to be applied to have a volume of
200cm^(3)

Step-by-step explanation:

According to Boyle's law, for a fixed amount of gas, the volume and pressure are inversely proportional.


P_(1) \cdot V_(1)=P_(2) \cdot V_(2)

Substituting the values, we get,


40 * 320=P_(2) * 200

Dividing both sides by 200,


(40 * 320)/(200)=P_(2)

Simplifying the terms, we get,


\begin{aligned}(12800)/(200) &=P_(2) \\64 &=P_(2)\end{aligned}

Thus, the pressure
64kg/cm^(2) has to be applied to have a volume of
200cm^(3)

User ThePerplexedOne
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